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Finding the Third Proportional to 27,849 and 36,928

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Solution

The third proportional to 27,849 and 36,928 is: 48,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,849 : 36,928 = 36,928 : x
  2. Step 2: Convert to fraction form
    27,849/36,928 = 36,928/x
  3. Step 3: Cross multiply
    27,849x = 36,928 × 36,928
  4. Step 4: Simplify right side
    27,849x = 1,363,677,184
  5. Step 5: Solve for x
    x = 1,363,677,184/27,849
  6. Step 6: Final answer
    x = 48,966.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.