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Finding the Third Proportional to 5,960.25 and 9,100.69

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Solution

The third proportional to 5,960.25 and 9,100.69 is: 13,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.25 : 9,100.69 = 9,100.69 : x
  2. Step 2: Convert to fraction form
    5,960.25/9,100.69 = 9,100.69/x
  3. Step 3: Cross multiply
    5,960.25x = 9,100.69 × 9,100.69
  4. Step 4: Simplify right side
    5,960.25x = 82,822,512.97
  5. Step 5: Solve for x
    x = 82,822,512.97/5,960.25
  6. Step 6: Final answer
    x = 13,895.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.