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Finding the Third Proportional to 8,737.88 and 13,294.13

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Solution

The third proportional to 8,737.88 and 13,294.13 is: 20,226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.88 : 13,294.13 = 13,294.13 : x
  2. Step 2: Convert to fraction form
    8,737.88/13,294.13 = 13,294.13/x
  3. Step 3: Cross multiply
    8,737.88x = 13,294.13 × 13,294.13
  4. Step 4: Simplify right side
    8,737.88x = 176,733,759.52
  5. Step 5: Solve for x
    x = 176,733,759.52/8,737.88
  6. Step 6: Final answer
    x = 20,226.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.