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Finding the Third Proportional to 41,412.52 and 65,680.95

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Solution

The third proportional to 41,412.52 and 65,680.95 is: 104,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,412.52 : 65,680.95 = 65,680.95 : x
  2. Step 2: Convert to fraction form
    41,412.52/65,680.95 = 65,680.95/x
  3. Step 3: Cross multiply
    41,412.52x = 65,680.95 × 65,680.95
  4. Step 4: Simplify right side
    41,412.52x = 4,313,987,731.69
  5. Step 5: Solve for x
    x = 4,313,987,731.69/41,412.52
  6. Step 6: Final answer
    x = 104,171.11

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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.