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Finding the Third Proportional to 15,992 and 34,897

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Solution

The third proportional to 15,992 and 34,897 is: 76,150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,992 : 34,897 = 34,897 : x
  2. Step 2: Convert to fraction form
    15,992/34,897 = 34,897/x
  3. Step 3: Cross multiply
    15,992x = 34,897 × 34,897
  4. Step 4: Simplify right side
    15,992x = 1,217,800,609
  5. Step 5: Solve for x
    x = 1,217,800,609/15,992
  6. Step 6: Final answer
    x = 76,150.61

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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.