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Finding the Third Proportional to 38,189 and 83,452

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Solution

The third proportional to 38,189 and 83,452 is: 182,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,189 : 83,452 = 83,452 : x
  2. Step 2: Convert to fraction form
    38,189/83,452 = 83,452/x
  3. Step 3: Cross multiply
    38,189x = 83,452 × 83,452
  4. Step 4: Simplify right side
    38,189x = 6,964,236,304
  5. Step 5: Solve for x
    x = 6,964,236,304/38,189
  6. Step 6: Final answer
    x = 182,362.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.