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Finding the Third Proportional to 37,967 and 57,887

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Solution

The third proportional to 37,967 and 57,887 is: 88,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,967 : 57,887 = 57,887 : x
  2. Step 2: Convert to fraction form
    37,967/57,887 = 57,887/x
  3. Step 3: Cross multiply
    37,967x = 57,887 × 57,887
  4. Step 4: Simplify right side
    37,967x = 3,350,904,769
  5. Step 5: Solve for x
    x = 3,350,904,769/37,967
  6. Step 6: Final answer
    x = 88,258.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.