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Finding the Third Proportional to 41,209.50 and 55,980

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Solution

The third proportional to 41,209.50 and 55,980 is: 76,044.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,209.50 : 55,980 = 55,980 : x
  2. Step 2: Convert to fraction form
    41,209.50/55,980 = 55,980/x
  3. Step 3: Cross multiply
    41,209.50x = 55,980 × 55,980
  4. Step 4: Simplify right side
    41,209.50x = 3,133,760,400
  5. Step 5: Solve for x
    x = 3,133,760,400/41,209.50
  6. Step 6: Final answer
    x = 76,044.61

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.