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Finding the Third Proportional to 41,699.25 and 61,446

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Solution

The third proportional to 41,699.25 and 61,446 is: 90,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,699.25 : 61,446 = 61,446 : x
  2. Step 2: Convert to fraction form
    41,699.25/61,446 = 61,446/x
  3. Step 3: Cross multiply
    41,699.25x = 61,446 × 61,446
  4. Step 4: Simplify right side
    41,699.25x = 3,775,610,916
  5. Step 5: Solve for x
    x = 3,775,610,916/41,699.25
  6. Step 6: Final answer
    x = 90,543.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.