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Finding the Third Proportional to 41,204.25 and 61,779.38

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Solution

The third proportional to 41,204.25 and 61,779.38 is: 92,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,204.25 : 61,779.38 = 61,779.38 : x
  2. Step 2: Convert to fraction form
    41,204.25/61,779.38 = 61,779.38/x
  3. Step 3: Cross multiply
    41,204.25x = 61,779.38 × 61,779.38
  4. Step 4: Simplify right side
    41,204.25x = 3,816,691,175.39
  5. Step 5: Solve for x
    x = 3,816,691,175.39/41,204.25
  6. Step 6: Final answer
    x = 92,628.58

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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.