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Finding the Third Proportional to 41,080.50 and 61,666.31

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Solution

The third proportional to 41,080.50 and 61,666.31 is: 92,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,080.50 : 61,666.31 = 61,666.31 : x
  2. Step 2: Convert to fraction form
    41,080.50/61,666.31 = 61,666.31/x
  3. Step 3: Cross multiply
    41,080.50x = 61,666.31 × 61,666.31
  4. Step 4: Simplify right side
    41,080.50x = 3,802,734,097.35
  5. Step 5: Solve for x
    x = 3,802,734,097.35/41,080.50
  6. Step 6: Final answer
    x = 92,567.86

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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.