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Finding the Third Proportional to 41,940 and 61,180.50

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Solution

The third proportional to 41,940 and 61,180.50 is: 89,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,940 : 61,180.50 = 61,180.50 : x
  2. Step 2: Convert to fraction form
    41,940/61,180.50 = 61,180.50/x
  3. Step 3: Cross multiply
    41,940x = 61,180.50 × 61,180.50
  4. Step 4: Simplify right side
    41,940x = 3,743,053,580.25
  5. Step 5: Solve for x
    x = 3,743,053,580.25/41,940
  6. Step 6: Final answer
    x = 89,247.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.