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Finding the Third Proportional to 11,994 and 27,147

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Solution

The third proportional to 11,994 and 27,147 is: 61,444.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,994 : 27,147 = 27,147 : x
  2. Step 2: Convert to fraction form
    11,994/27,147 = 27,147/x
  3. Step 3: Cross multiply
    11,994x = 27,147 × 27,147
  4. Step 4: Simplify right side
    11,994x = 736,959,609
  5. Step 5: Solve for x
    x = 736,959,609/11,994
  6. Step 6: Final answer
    x = 61,444.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.