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Finding the Third Proportional to 22,797 and 47,897

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Solution

The third proportional to 22,797 and 47,897 is: 100,632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,797 : 47,897 = 47,897 : x
  2. Step 2: Convert to fraction form
    22,797/47,897 = 47,897/x
  3. Step 3: Cross multiply
    22,797x = 47,897 × 47,897
  4. Step 4: Simplify right side
    22,797x = 2,294,122,609
  5. Step 5: Solve for x
    x = 2,294,122,609/22,797
  6. Step 6: Final answer
    x = 100,632.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.