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Finding the Third Proportional to 6,309 and 11,889

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Solution

The third proportional to 6,309 and 11,889 is: 22,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309 : 11,889 = 11,889 : x
  2. Step 2: Convert to fraction form
    6,309/11,889 = 11,889/x
  3. Step 3: Cross multiply
    6,309x = 11,889 × 11,889
  4. Step 4: Simplify right side
    6,309x = 141,348,321
  5. Step 5: Solve for x
    x = 141,348,321/6,309
  6. Step 6: Final answer
    x = 22,404.24

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.