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Finding the Third Proportional to 27,382 and 39,797

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Solution

The third proportional to 27,382 and 39,797 is: 57,840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382 : 39,797 = 39,797 : x
  2. Step 2: Convert to fraction form
    27,382/39,797 = 39,797/x
  3. Step 3: Cross multiply
    27,382x = 39,797 × 39,797
  4. Step 4: Simplify right side
    27,382x = 1,583,801,209
  5. Step 5: Solve for x
    x = 1,583,801,209/27,382
  6. Step 6: Final answer
    x = 57,840.96

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.