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Finding the Third Proportional to 41,865.75 and 58,560.75

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Solution

The third proportional to 41,865.75 and 58,560.75 is: 81,913.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,865.75 : 58,560.75 = 58,560.75 : x
  2. Step 2: Convert to fraction form
    41,865.75/58,560.75 = 58,560.75/x
  3. Step 3: Cross multiply
    41,865.75x = 58,560.75 × 58,560.75
  4. Step 4: Simplify right side
    41,865.75x = 3,429,361,440.56
  5. Step 5: Solve for x
    x = 3,429,361,440.56/41,865.75
  6. Step 6: Final answer
    x = 81,913.29

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.