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Finding the Third Proportional to 9,745.92 and 15,512.72

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Solution

The third proportional to 9,745.92 and 15,512.72 is: 24,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.92 : 15,512.72 = 15,512.72 : x
  2. Step 2: Convert to fraction form
    9,745.92/15,512.72 = 15,512.72/x
  3. Step 3: Cross multiply
    9,745.92x = 15,512.72 × 15,512.72
  4. Step 4: Simplify right side
    9,745.92x = 240,644,443.02
  5. Step 5: Solve for x
    x = 240,644,443.02/9,745.92
  6. Step 6: Final answer
    x = 24,691.81

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.