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Finding the Third Proportional to 26,588 and 40,812

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Solution

The third proportional to 26,588 and 40,812 is: 62,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,588 : 40,812 = 40,812 : x
  2. Step 2: Convert to fraction form
    26,588/40,812 = 40,812/x
  3. Step 3: Cross multiply
    26,588x = 40,812 × 40,812
  4. Step 4: Simplify right side
    26,588x = 1,665,619,344
  5. Step 5: Solve for x
    x = 1,665,619,344/26,588
  6. Step 6: Final answer
    x = 62,645.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.