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Finding the Third Proportional to 11,906.16 and 17,503.59

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Solution

The third proportional to 11,906.16 and 17,503.59 is: 25,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.16 : 17,503.59 = 17,503.59 : x
  2. Step 2: Convert to fraction form
    11,906.16/17,503.59 = 17,503.59/x
  3. Step 3: Cross multiply
    11,906.16x = 17,503.59 × 17,503.59
  4. Step 4: Simplify right side
    11,906.16x = 306,375,794.17
  5. Step 5: Solve for x
    x = 306,375,794.17/11,906.16
  6. Step 6: Final answer
    x = 25,732.55

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.