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Finding the Third Proportional to 13,871.25 and 29,727

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Solution

The third proportional to 13,871.25 and 29,727 is: 63,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.25 : 29,727 = 29,727 : x
  2. Step 2: Convert to fraction form
    13,871.25/29,727 = 29,727/x
  3. Step 3: Cross multiply
    13,871.25x = 29,727 × 29,727
  4. Step 4: Simplify right side
    13,871.25x = 883,694,529
  5. Step 5: Solve for x
    x = 883,694,529/13,871.25
  6. Step 6: Final answer
    x = 63,706.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.