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Finding the Third Proportional to 37,634 and 80,452

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Solution

The third proportional to 37,634 and 80,452 is: 171,986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,634 : 80,452 = 80,452 : x
  2. Step 2: Convert to fraction form
    37,634/80,452 = 80,452/x
  3. Step 3: Cross multiply
    37,634x = 80,452 × 80,452
  4. Step 4: Simplify right side
    37,634x = 6,472,524,304
  5. Step 5: Solve for x
    x = 6,472,524,304/37,634
  6. Step 6: Final answer
    x = 171,986.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.