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Finding the Third Proportional to 26,019 and 41,397

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Solution

The third proportional to 26,019 and 41,397 is: 65,863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,019 : 41,397 = 41,397 : x
  2. Step 2: Convert to fraction form
    26,019/41,397 = 41,397/x
  3. Step 3: Cross multiply
    26,019x = 41,397 × 41,397
  4. Step 4: Simplify right side
    26,019x = 1,713,711,609
  5. Step 5: Solve for x
    x = 1,713,711,609/26,019
  6. Step 6: Final answer
    x = 65,863.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.