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Finding the Third Proportional to 26,872 and 40,159

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Solution

The third proportional to 26,872 and 40,159 is: 60,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,872 : 40,159 = 40,159 : x
  2. Step 2: Convert to fraction form
    26,872/40,159 = 40,159/x
  3. Step 3: Cross multiply
    26,872x = 40,159 × 40,159
  4. Step 4: Simplify right side
    26,872x = 1,612,745,281
  5. Step 5: Solve for x
    x = 1,612,745,281/26,872
  6. Step 6: Final answer
    x = 60,015.83

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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.