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Finding the Third Proportional to 3,747.52 and 8,062.24

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Solution

The third proportional to 3,747.52 and 8,062.24 is: 17,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.52 : 8,062.24 = 8,062.24 : x
  2. Step 2: Convert to fraction form
    3,747.52/8,062.24 = 8,062.24/x
  3. Step 3: Cross multiply
    3,747.52x = 8,062.24 × 8,062.24
  4. Step 4: Simplify right side
    3,747.52x = 64,999,749.09
  5. Step 5: Solve for x
    x = 64,999,749.09/3,747.52
  6. Step 6: Final answer
    x = 17,344.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.