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Finding the Third Proportional to 38,806 and 82,700

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Solution

The third proportional to 38,806 and 82,700 is: 176,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,806 : 82,700 = 82,700 : x
  2. Step 2: Convert to fraction form
    38,806/82,700 = 82,700/x
  3. Step 3: Cross multiply
    38,806x = 82,700 × 82,700
  4. Step 4: Simplify right side
    38,806x = 6,839,290,000
  5. Step 5: Solve for x
    x = 6,839,290,000/38,806
  6. Step 6: Final answer
    x = 176,243.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.