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Finding the Third Proportional to 26,624 and 41,764

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Solution

The third proportional to 26,624 and 41,764 is: 65,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,624 : 41,764 = 41,764 : x
  2. Step 2: Convert to fraction form
    26,624/41,764 = 41,764/x
  3. Step 3: Cross multiply
    26,624x = 41,764 × 41,764
  4. Step 4: Simplify right side
    26,624x = 1,744,231,696
  5. Step 5: Solve for x
    x = 1,744,231,696/26,624
  6. Step 6: Final answer
    x = 65,513.51

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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.