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Finding the Third Proportional to 20,589 and 28,359

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Solution

The third proportional to 20,589 and 28,359 is: 39,061.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589 : 28,359 = 28,359 : x
  2. Step 2: Convert to fraction form
    20,589/28,359 = 28,359/x
  3. Step 3: Cross multiply
    20,589x = 28,359 × 28,359
  4. Step 4: Simplify right side
    20,589x = 804,232,881
  5. Step 5: Solve for x
    x = 804,232,881/20,589
  6. Step 6: Final answer
    x = 39,061.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.