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Finding the Third Proportional to 12,897 and 20,593

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Solution

The third proportional to 12,897 and 20,593 is: 32,881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897 : 20,593 = 20,593 : x
  2. Step 2: Convert to fraction form
    12,897/20,593 = 20,593/x
  3. Step 3: Cross multiply
    12,897x = 20,593 × 20,593
  4. Step 4: Simplify right side
    12,897x = 424,071,649
  5. Step 5: Solve for x
    x = 424,071,649/12,897
  6. Step 6: Final answer
    x = 32,881.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.