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Finding the Third Proportional to 37,481 and 80,521

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Solution

The third proportional to 37,481 and 80,521 is: 172,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,481 : 80,521 = 80,521 : x
  2. Step 2: Convert to fraction form
    37,481/80,521 = 80,521/x
  3. Step 3: Cross multiply
    37,481x = 80,521 × 80,521
  4. Step 4: Simplify right side
    37,481x = 6,483,631,441
  5. Step 5: Solve for x
    x = 6,483,631,441/37,481
  6. Step 6: Final answer
    x = 172,984.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.