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Finding the Third Proportional to 26,197 and 38,926

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Solution

The third proportional to 26,197 and 38,926 is: 57,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,197 : 38,926 = 38,926 : x
  2. Step 2: Convert to fraction form
    26,197/38,926 = 38,926/x
  3. Step 3: Cross multiply
    26,197x = 38,926 × 38,926
  4. Step 4: Simplify right side
    26,197x = 1,515,233,476
  5. Step 5: Solve for x
    x = 1,515,233,476/26,197
  6. Step 6: Final answer
    x = 57,839.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.