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Finding the Third Proportional to 7,932.38 and 12,250.13

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Solution

The third proportional to 7,932.38 and 12,250.13 is: 18,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.38 : 12,250.13 = 12,250.13 : x
  2. Step 2: Convert to fraction form
    7,932.38/12,250.13 = 12,250.13/x
  3. Step 3: Cross multiply
    7,932.38x = 12,250.13 × 12,250.13
  4. Step 4: Simplify right side
    7,932.38x = 150,065,562.52
  5. Step 5: Solve for x
    x = 150,065,562.52/7,932.38
  6. Step 6: Final answer
    x = 18,918.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.