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Finding the Third Proportional to 27,848 and 32,744

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Solution

The third proportional to 27,848 and 32,744 is: 38,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,848 : 32,744 = 32,744 : x
  2. Step 2: Convert to fraction form
    27,848/32,744 = 32,744/x
  3. Step 3: Cross multiply
    27,848x = 32,744 × 32,744
  4. Step 4: Simplify right side
    27,848x = 1,072,169,536
  5. Step 5: Solve for x
    x = 1,072,169,536/27,848
  6. Step 6: Final answer
    x = 38,500.77

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.