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Finding the Third Proportional to 41,185.97 and 61,775.16

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Solution

The third proportional to 41,185.97 and 61,775.16 is: 92,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,185.97 : 61,775.16 = 61,775.16 : x
  2. Step 2: Convert to fraction form
    41,185.97/61,775.16 = 61,775.16/x
  3. Step 3: Cross multiply
    41,185.97x = 61,775.16 × 61,775.16
  4. Step 4: Simplify right side
    41,185.97x = 3,816,169,929.71
  5. Step 5: Solve for x
    x = 3,816,169,929.71/41,185.97
  6. Step 6: Final answer
    x = 92,657.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.