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Finding the Third Proportional to 2,387.76 and 3,472.72

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Solution

The third proportional to 2,387.76 and 3,472.72 is: 5,050.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.76 : 3,472.72 = 3,472.72 : x
  2. Step 2: Convert to fraction form
    2,387.76/3,472.72 = 3,472.72/x
  3. Step 3: Cross multiply
    2,387.76x = 3,472.72 × 3,472.72
  4. Step 4: Simplify right side
    2,387.76x = 12,059,761.95
  5. Step 5: Solve for x
    x = 12,059,761.95/2,387.76
  6. Step 6: Final answer
    x = 5,050.66

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.