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Finding the Third Proportional to 27,248 and 31,568

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Solution

The third proportional to 27,248 and 31,568 is: 36,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,248 : 31,568 = 31,568 : x
  2. Step 2: Convert to fraction form
    27,248/31,568 = 31,568/x
  3. Step 3: Cross multiply
    27,248x = 31,568 × 31,568
  4. Step 4: Simplify right side
    27,248x = 996,538,624
  5. Step 5: Solve for x
    x = 996,538,624/27,248
  6. Step 6: Final answer
    x = 36,572.91

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.