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Finding the Third Proportional to 40,050 and 57,691

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Solution

The third proportional to 40,050 and 57,691 is: 83,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,050 : 57,691 = 57,691 : x
  2. Step 2: Convert to fraction form
    40,050/57,691 = 57,691/x
  3. Step 3: Cross multiply
    40,050x = 57,691 × 57,691
  4. Step 4: Simplify right side
    40,050x = 3,328,251,481
  5. Step 5: Solve for x
    x = 3,328,251,481/40,050
  6. Step 6: Final answer
    x = 83,102.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.