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Finding the Third Proportional to 37,950 and 83,282

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Solution

The third proportional to 37,950 and 83,282 is: 182,763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,950 : 83,282 = 83,282 : x
  2. Step 2: Convert to fraction form
    37,950/83,282 = 83,282/x
  3. Step 3: Cross multiply
    37,950x = 83,282 × 83,282
  4. Step 4: Simplify right side
    37,950x = 6,935,891,524
  5. Step 5: Solve for x
    x = 6,935,891,524/37,950
  6. Step 6: Final answer
    x = 182,763.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.