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Finding the Third Proportional to 33,987 and 72,897

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Solution

The third proportional to 33,987 and 72,897 is: 156,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,987 : 72,897 = 72,897 : x
  2. Step 2: Convert to fraction form
    33,987/72,897 = 72,897/x
  3. Step 3: Cross multiply
    33,987x = 72,897 × 72,897
  4. Step 4: Simplify right side
    33,987x = 5,313,972,609
  5. Step 5: Solve for x
    x = 5,313,972,609/33,987
  6. Step 6: Final answer
    x = 156,353.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.