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Finding the Third Proportional to 37,110 and 57,471

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Solution

The third proportional to 37,110 and 57,471 is: 89,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,110 : 57,471 = 57,471 : x
  2. Step 2: Convert to fraction form
    37,110/57,471 = 57,471/x
  3. Step 3: Cross multiply
    37,110x = 57,471 × 57,471
  4. Step 4: Simplify right side
    37,110x = 3,302,915,841
  5. Step 5: Solve for x
    x = 3,302,915,841/37,110
  6. Step 6: Final answer
    x = 89,003.39

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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.