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Finding the Third Proportional to 13,780.13 and 29,737.13

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Solution

The third proportional to 13,780.13 and 29,737.13 is: 64,171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.13 : 29,737.13 = 29,737.13 : x
  2. Step 2: Convert to fraction form
    13,780.13/29,737.13 = 29,737.13/x
  3. Step 3: Cross multiply
    13,780.13x = 29,737.13 × 29,737.13
  4. Step 4: Simplify right side
    13,780.13x = 884,296,603.27
  5. Step 5: Solve for x
    x = 884,296,603.27/13,780.13
  6. Step 6: Final answer
    x = 64,171.89

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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.