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Finding the Third Proportional to 38,349 and 83,671

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Solution

The third proportional to 38,349 and 83,671 is: 182,555.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,349 : 83,671 = 83,671 : x
  2. Step 2: Convert to fraction form
    38,349/83,671 = 83,671/x
  3. Step 3: Cross multiply
    38,349x = 83,671 × 83,671
  4. Step 4: Simplify right side
    38,349x = 7,000,836,241
  5. Step 5: Solve for x
    x = 7,000,836,241/38,349
  6. Step 6: Final answer
    x = 182,555.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.