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Finding the Third Proportional to 1,042.45 and 1,247.91

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Solution

The third proportional to 1,042.45 and 1,247.91 is: 1,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.45 : 1,247.91 = 1,247.91 : x
  2. Step 2: Convert to fraction form
    1,042.45/1,247.91 = 1,247.91/x
  3. Step 3: Cross multiply
    1,042.45x = 1,247.91 × 1,247.91
  4. Step 4: Simplify right side
    1,042.45x = 1,557,270.01
  5. Step 5: Solve for x
    x = 1,557,270.01/1,042.45
  6. Step 6: Final answer
    x = 1,493.85

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.