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Finding the Third Proportional to 26,558 and 41,448

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Solution

The third proportional to 26,558 and 41,448 is: 64,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,558 : 41,448 = 41,448 : x
  2. Step 2: Convert to fraction form
    26,558/41,448 = 41,448/x
  3. Step 3: Cross multiply
    26,558x = 41,448 × 41,448
  4. Step 4: Simplify right side
    26,558x = 1,717,936,704
  5. Step 5: Solve for x
    x = 1,717,936,704/26,558
  6. Step 6: Final answer
    x = 64,686.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.