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Finding the Third Proportional to 4,047.47 and 5,691.52

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Solution

The third proportional to 4,047.47 and 5,691.52 is: 8,003.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.47 : 5,691.52 = 5,691.52 : x
  2. Step 2: Convert to fraction form
    4,047.47/5,691.52 = 5,691.52/x
  3. Step 3: Cross multiply
    4,047.47x = 5,691.52 × 5,691.52
  4. Step 4: Simplify right side
    4,047.47x = 32,393,350.11
  5. Step 5: Solve for x
    x = 32,393,350.11/4,047.47
  6. Step 6: Final answer
    x = 8,003.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.