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Finding the Third Proportional to 3,737.81 and 7,862.91

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Solution

The third proportional to 3,737.81 and 7,862.91 is: 16,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.81 : 7,862.91 = 7,862.91 : x
  2. Step 2: Convert to fraction form
    3,737.81/7,862.91 = 7,862.91/x
  3. Step 3: Cross multiply
    3,737.81x = 7,862.91 × 7,862.91
  4. Step 4: Simplify right side
    3,737.81x = 61,825,294.70
  5. Step 5: Solve for x
    x = 61,825,294.70/3,737.81
  6. Step 6: Final answer
    x = 16,540.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.