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Finding the Third Proportional to 10,897 and 23,771

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Solution

The third proportional to 10,897 and 23,771 is: 51,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897 : 23,771 = 23,771 : x
  2. Step 2: Convert to fraction form
    10,897/23,771 = 23,771/x
  3. Step 3: Cross multiply
    10,897x = 23,771 × 23,771
  4. Step 4: Simplify right side
    10,897x = 565,060,441
  5. Step 5: Solve for x
    x = 565,060,441/10,897
  6. Step 6: Final answer
    x = 51,854.68

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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.