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Finding the Third Proportional to 20,896 and 26,424

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Solution

The third proportional to 20,896 and 26,424 is: 33,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896 : 26,424 = 26,424 : x
  2. Step 2: Convert to fraction form
    20,896/26,424 = 26,424/x
  3. Step 3: Cross multiply
    20,896x = 26,424 × 26,424
  4. Step 4: Simplify right side
    20,896x = 698,227,776
  5. Step 5: Solve for x
    x = 698,227,776/20,896
  6. Step 6: Final answer
    x = 33,414.42

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.