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Finding the Third Proportional to 3,700.69 and 8,932.78

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Solution

The third proportional to 3,700.69 and 8,932.78 is: 21,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.69 : 8,932.78 = 8,932.78 : x
  2. Step 2: Convert to fraction form
    3,700.69/8,932.78 = 8,932.78/x
  3. Step 3: Cross multiply
    3,700.69x = 8,932.78 × 8,932.78
  4. Step 4: Simplify right side
    3,700.69x = 79,794,580.86
  5. Step 5: Solve for x
    x = 79,794,580.86/3,700.69
  6. Step 6: Final answer
    x = 21,562.10

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.