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Finding the Third Proportional to 7,434.91 and 10,092.73

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Solution

The third proportional to 7,434.91 and 10,092.73 is: 13,700.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.91 : 10,092.73 = 10,092.73 : x
  2. Step 2: Convert to fraction form
    7,434.91/10,092.73 = 10,092.73/x
  3. Step 3: Cross multiply
    7,434.91x = 10,092.73 × 10,092.73
  4. Step 4: Simplify right side
    7,434.91x = 101,863,129.47
  5. Step 5: Solve for x
    x = 101,863,129.47/7,434.91
  6. Step 6: Final answer
    x = 13,700.65

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.