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Finding the Third Proportional to 38,874 and 85,614

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Solution

The third proportional to 38,874 and 85,614 is: 188,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,874 : 85,614 = 85,614 : x
  2. Step 2: Convert to fraction form
    38,874/85,614 = 85,614/x
  3. Step 3: Cross multiply
    38,874x = 85,614 × 85,614
  4. Step 4: Simplify right side
    38,874x = 7,329,756,996
  5. Step 5: Solve for x
    x = 7,329,756,996/38,874
  6. Step 6: Final answer
    x = 188,551.65

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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.