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Finding the Third Proportional to 12,897 and 20,523

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Solution

The third proportional to 12,897 and 20,523 is: 32,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897 : 20,523 = 20,523 : x
  2. Step 2: Convert to fraction form
    12,897/20,523 = 20,523/x
  3. Step 3: Cross multiply
    12,897x = 20,523 × 20,523
  4. Step 4: Simplify right side
    12,897x = 421,193,529
  5. Step 5: Solve for x
    x = 421,193,529/12,897
  6. Step 6: Final answer
    x = 32,658.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.