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Finding the Third Proportional to 40,378.50 and 57,801

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Solution

The third proportional to 40,378.50 and 57,801 is: 82,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,378.50 : 57,801 = 57,801 : x
  2. Step 2: Convert to fraction form
    40,378.50/57,801 = 57,801/x
  3. Step 3: Cross multiply
    40,378.50x = 57,801 × 57,801
  4. Step 4: Simplify right side
    40,378.50x = 3,340,955,601
  5. Step 5: Solve for x
    x = 3,340,955,601/40,378.50
  6. Step 6: Final answer
    x = 82,740.95

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.