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Finding the Third Proportional to 26,860 and 40,882

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Solution

The third proportional to 26,860 and 40,882 is: 62,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,860 : 40,882 = 40,882 : x
  2. Step 2: Convert to fraction form
    26,860/40,882 = 40,882/x
  3. Step 3: Cross multiply
    26,860x = 40,882 × 40,882
  4. Step 4: Simplify right side
    26,860x = 1,671,337,924
  5. Step 5: Solve for x
    x = 1,671,337,924/26,860
  6. Step 6: Final answer
    x = 62,224.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.