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Finding the Third Proportional to 38,282 and 81,202

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Solution

The third proportional to 38,282 and 81,202 is: 172,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282 : 81,202 = 81,202 : x
  2. Step 2: Convert to fraction form
    38,282/81,202 = 81,202/x
  3. Step 3: Cross multiply
    38,282x = 81,202 × 81,202
  4. Step 4: Simplify right side
    38,282x = 6,593,764,804
  5. Step 5: Solve for x
    x = 6,593,764,804/38,282
  6. Step 6: Final answer
    x = 172,241.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.