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Finding the Third Proportional to 20,448 and 26,940

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Solution

The third proportional to 20,448 and 26,940 is: 35,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448 : 26,940 = 26,940 : x
  2. Step 2: Convert to fraction form
    20,448/26,940 = 26,940/x
  3. Step 3: Cross multiply
    20,448x = 26,940 × 26,940
  4. Step 4: Simplify right side
    20,448x = 725,763,600
  5. Step 5: Solve for x
    x = 725,763,600/20,448
  6. Step 6: Final answer
    x = 35,493.13

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.