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Finding the Third Proportional to 23,864 and 36,897

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Solution

The third proportional to 23,864 and 36,897 is: 57,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,864 : 36,897 = 36,897 : x
  2. Step 2: Convert to fraction form
    23,864/36,897 = 36,897/x
  3. Step 3: Cross multiply
    23,864x = 36,897 × 36,897
  4. Step 4: Simplify right side
    23,864x = 1,361,388,609
  5. Step 5: Solve for x
    x = 1,361,388,609/23,864
  6. Step 6: Final answer
    x = 57,047.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.