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Finding the Third Proportional to 13,514 and 21,589

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Solution

The third proportional to 13,514 and 21,589 is: 34,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514 : 21,589 = 21,589 : x
  2. Step 2: Convert to fraction form
    13,514/21,589 = 21,589/x
  3. Step 3: Cross multiply
    13,514x = 21,589 × 21,589
  4. Step 4: Simplify right side
    13,514x = 466,084,921
  5. Step 5: Solve for x
    x = 466,084,921/13,514
  6. Step 6: Final answer
    x = 34,489.04

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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.