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Finding the Third Proportional to 38,987 and 84,561

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Solution

The third proportional to 38,987 and 84,561 is: 183,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,987 : 84,561 = 84,561 : x
  2. Step 2: Convert to fraction form
    38,987/84,561 = 84,561/x
  3. Step 3: Cross multiply
    38,987x = 84,561 × 84,561
  4. Step 4: Simplify right side
    38,987x = 7,150,562,721
  5. Step 5: Solve for x
    x = 7,150,562,721/38,987
  6. Step 6: Final answer
    x = 183,408.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.