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Finding the Third Proportional to 26,612 and 42,186

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Solution

The third proportional to 26,612 and 42,186 is: 66,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,612 : 42,186 = 42,186 : x
  2. Step 2: Convert to fraction form
    26,612/42,186 = 42,186/x
  3. Step 3: Cross multiply
    26,612x = 42,186 × 42,186
  4. Step 4: Simplify right side
    26,612x = 1,779,658,596
  5. Step 5: Solve for x
    x = 1,779,658,596/26,612
  6. Step 6: Final answer
    x = 66,874.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.