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Finding the Third Proportional to 38,240 and 82,017

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Solution

The third proportional to 38,240 and 82,017 is: 175,909.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,240 : 82,017 = 82,017 : x
  2. Step 2: Convert to fraction form
    38,240/82,017 = 82,017/x
  3. Step 3: Cross multiply
    38,240x = 82,017 × 82,017
  4. Step 4: Simplify right side
    38,240x = 6,726,788,289
  5. Step 5: Solve for x
    x = 6,726,788,289/38,240
  6. Step 6: Final answer
    x = 175,909.74

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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.