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Finding the Third Proportional to 9,089.72 and 13,702.92

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Solution

The third proportional to 9,089.72 and 13,702.92 is: 20,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.72 : 13,702.92 = 13,702.92 : x
  2. Step 2: Convert to fraction form
    9,089.72/13,702.92 = 13,702.92/x
  3. Step 3: Cross multiply
    9,089.72x = 13,702.92 × 13,702.92
  4. Step 4: Simplify right side
    9,089.72x = 187,770,067.91
  5. Step 5: Solve for x
    x = 187,770,067.91/9,089.72
  6. Step 6: Final answer
    x = 20,657.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.