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Finding the Third Proportional to 40,534 and 57,741

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Solution

The third proportional to 40,534 and 57,741 is: 82,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,534 : 57,741 = 57,741 : x
  2. Step 2: Convert to fraction form
    40,534/57,741 = 57,741/x
  3. Step 3: Cross multiply
    40,534x = 57,741 × 57,741
  4. Step 4: Simplify right side
    40,534x = 3,334,023,081
  5. Step 5: Solve for x
    x = 3,334,023,081/40,534
  6. Step 6: Final answer
    x = 82,252.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.