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Finding the Third Proportional to 38,764 and 84,452

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Solution

The third proportional to 38,764 and 84,452 is: 183,988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,764 : 84,452 = 84,452 : x
  2. Step 2: Convert to fraction form
    38,764/84,452 = 84,452/x
  3. Step 3: Cross multiply
    38,764x = 84,452 × 84,452
  4. Step 4: Simplify right side
    38,764x = 7,132,140,304
  5. Step 5: Solve for x
    x = 7,132,140,304/38,764
  6. Step 6: Final answer
    x = 183,988.76

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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.