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Finding the Third Proportional to 26,406 and 41,496

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Solution

The third proportional to 26,406 and 41,496 is: 65,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,406 : 41,496 = 41,496 : x
  2. Step 2: Convert to fraction form
    26,406/41,496 = 41,496/x
  3. Step 3: Cross multiply
    26,406x = 41,496 × 41,496
  4. Step 4: Simplify right side
    26,406x = 1,721,918,016
  5. Step 5: Solve for x
    x = 1,721,918,016/26,406
  6. Step 6: Final answer
    x = 65,209.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.