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Finding the Third Proportional to 37,398 and 57,481

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Solution

The third proportional to 37,398 and 57,481 is: 88,348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,398 : 57,481 = 57,481 : x
  2. Step 2: Convert to fraction form
    37,398/57,481 = 57,481/x
  3. Step 3: Cross multiply
    37,398x = 57,481 × 57,481
  4. Step 4: Simplify right side
    37,398x = 3,304,065,361
  5. Step 5: Solve for x
    x = 3,304,065,361/37,398
  6. Step 6: Final answer
    x = 88,348.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.