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Finding the Third Proportional to 38,472 and 82,512

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Solution

The third proportional to 38,472 and 82,512 is: 176,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,472 : 82,512 = 82,512 : x
  2. Step 2: Convert to fraction form
    38,472/82,512 = 82,512/x
  3. Step 3: Cross multiply
    38,472x = 82,512 × 82,512
  4. Step 4: Simplify right side
    38,472x = 6,808,230,144
  5. Step 5: Solve for x
    x = 6,808,230,144/38,472
  6. Step 6: Final answer
    x = 176,965.85

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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.