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Finding the Third Proportional to 37,017 and 57,255

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Solution

The third proportional to 37,017 and 57,255 is: 88,557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,017 : 57,255 = 57,255 : x
  2. Step 2: Convert to fraction form
    37,017/57,255 = 57,255/x
  3. Step 3: Cross multiply
    37,017x = 57,255 × 57,255
  4. Step 4: Simplify right side
    37,017x = 3,278,135,025
  5. Step 5: Solve for x
    x = 3,278,135,025/37,017
  6. Step 6: Final answer
    x = 88,557.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.