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Finding the Third Proportional to 26,872 and 36,048

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Solution

The third proportional to 26,872 and 36,048 is: 48,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,872 : 36,048 = 36,048 : x
  2. Step 2: Convert to fraction form
    26,872/36,048 = 36,048/x
  3. Step 3: Cross multiply
    26,872x = 36,048 × 36,048
  4. Step 4: Simplify right side
    26,872x = 1,299,458,304
  5. Step 5: Solve for x
    x = 1,299,458,304/26,872
  6. Step 6: Final answer
    x = 48,357.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.