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Finding the Third Proportional to 7,489.97 and 11,272.92

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Solution

The third proportional to 7,489.97 and 11,272.92 is: 16,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.97 : 11,272.92 = 11,272.92 : x
  2. Step 2: Convert to fraction form
    7,489.97/11,272.92 = 11,272.92/x
  3. Step 3: Cross multiply
    7,489.97x = 11,272.92 × 11,272.92
  4. Step 4: Simplify right side
    7,489.97x = 127,078,767.60
  5. Step 5: Solve for x
    x = 127,078,767.60/7,489.97
  6. Step 6: Final answer
    x = 16,966.53

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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.