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Finding the Third Proportional to 5,994 and 13,221

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Solution

The third proportional to 5,994 and 13,221 is: 29,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994 : 13,221 = 13,221 : x
  2. Step 2: Convert to fraction form
    5,994/13,221 = 13,221/x
  3. Step 3: Cross multiply
    5,994x = 13,221 × 13,221
  4. Step 4: Simplify right side
    5,994x = 174,794,841
  5. Step 5: Solve for x
    x = 174,794,841/5,994
  6. Step 6: Final answer
    x = 29,161.64

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.