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Finding the Third Proportional to 6,129.42 and 9,814.92

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Solution

The third proportional to 6,129.42 and 9,814.92 is: 15,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.42 : 9,814.92 = 9,814.92 : x
  2. Step 2: Convert to fraction form
    6,129.42/9,814.92 = 9,814.92/x
  3. Step 3: Cross multiply
    6,129.42x = 9,814.92 × 9,814.92
  4. Step 4: Simplify right side
    6,129.42x = 96,332,691.41
  5. Step 5: Solve for x
    x = 96,332,691.41/6,129.42
  6. Step 6: Final answer
    x = 15,716.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.