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Finding the Third Proportional to 13,737 and 29,664

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Solution

The third proportional to 13,737 and 29,664 is: 64,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737 : 29,664 = 29,664 : x
  2. Step 2: Convert to fraction form
    13,737/29,664 = 29,664/x
  3. Step 3: Cross multiply
    13,737x = 29,664 × 29,664
  4. Step 4: Simplify right side
    13,737x = 879,952,896
  5. Step 5: Solve for x
    x = 879,952,896/13,737
  6. Step 6: Final answer
    x = 64,057.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.