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Finding the Third Proportional to 13,965 and 27,687

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Solution

The third proportional to 13,965 and 27,687 is: 54,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965 : 27,687 = 27,687 : x
  2. Step 2: Convert to fraction form
    13,965/27,687 = 27,687/x
  3. Step 3: Cross multiply
    13,965x = 27,687 × 27,687
  4. Step 4: Simplify right side
    13,965x = 766,569,969
  5. Step 5: Solve for x
    x = 766,569,969/13,965
  6. Step 6: Final answer
    x = 54,892.23

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.