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Finding the Third Proportional to 38,511 and 82,233

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Solution

The third proportional to 38,511 and 82,233 is: 175,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,511 : 82,233 = 82,233 : x
  2. Step 2: Convert to fraction form
    38,511/82,233 = 82,233/x
  3. Step 3: Cross multiply
    38,511x = 82,233 × 82,233
  4. Step 4: Simplify right side
    38,511x = 6,762,266,289
  5. Step 5: Solve for x
    x = 6,762,266,289/38,511
  6. Step 6: Final answer
    x = 175,593.11

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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.