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Finding the Third Proportional to 38,217 and 82,996

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Solution

The third proportional to 38,217 and 82,996 is: 180,242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,217 : 82,996 = 82,996 : x
  2. Step 2: Convert to fraction form
    38,217/82,996 = 82,996/x
  3. Step 3: Cross multiply
    38,217x = 82,996 × 82,996
  4. Step 4: Simplify right side
    38,217x = 6,888,336,016
  5. Step 5: Solve for x
    x = 6,888,336,016/38,217
  6. Step 6: Final answer
    x = 180,242.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.