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Finding the Third Proportional to 20,897 and 32,394

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Solution

The third proportional to 20,897 and 32,394 is: 50,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897 : 32,394 = 32,394 : x
  2. Step 2: Convert to fraction form
    20,897/32,394 = 32,394/x
  3. Step 3: Cross multiply
    20,897x = 32,394 × 32,394
  4. Step 4: Simplify right side
    20,897x = 1,049,371,236
  5. Step 5: Solve for x
    x = 1,049,371,236/20,897
  6. Step 6: Final answer
    x = 50,216.36

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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.