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Finding the Third Proportional to 38,214 and 84,180

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Solution

The third proportional to 38,214 and 84,180 is: 185,436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,214 : 84,180 = 84,180 : x
  2. Step 2: Convert to fraction form
    38,214/84,180 = 84,180/x
  3. Step 3: Cross multiply
    38,214x = 84,180 × 84,180
  4. Step 4: Simplify right side
    38,214x = 7,086,272,400
  5. Step 5: Solve for x
    x = 7,086,272,400/38,214
  6. Step 6: Final answer
    x = 185,436.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.