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Finding the Third Proportional to 42,686 and 57,115

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Solution

The third proportional to 42,686 and 57,115 is: 76,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,686 : 57,115 = 57,115 : x
  2. Step 2: Convert to fraction form
    42,686/57,115 = 57,115/x
  3. Step 3: Cross multiply
    42,686x = 57,115 × 57,115
  4. Step 4: Simplify right side
    42,686x = 3,262,123,225
  5. Step 5: Solve for x
    x = 3,262,123,225/42,686
  6. Step 6: Final answer
    x = 76,421.38

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.