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Finding the Third Proportional to 26,638 and 41,421

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Solution

The third proportional to 26,638 and 41,421 is: 64,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,638 : 41,421 = 41,421 : x
  2. Step 2: Convert to fraction form
    26,638/41,421 = 41,421/x
  3. Step 3: Cross multiply
    26,638x = 41,421 × 41,421
  4. Step 4: Simplify right side
    26,638x = 1,715,699,241
  5. Step 5: Solve for x
    x = 1,715,699,241/26,638
  6. Step 6: Final answer
    x = 64,407.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.