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Finding the Third Proportional to 26,624 and 41,762

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Solution

The third proportional to 26,624 and 41,762 is: 65,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,624 : 41,762 = 41,762 : x
  2. Step 2: Convert to fraction form
    26,624/41,762 = 41,762/x
  3. Step 3: Cross multiply
    26,624x = 41,762 × 41,762
  4. Step 4: Simplify right side
    26,624x = 1,744,064,644
  5. Step 5: Solve for x
    x = 1,744,064,644/26,624
  6. Step 6: Final answer
    x = 65,507.24

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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.