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Finding the Third Proportional to 27,868 and 54,339

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Solution

The third proportional to 27,868 and 54,339 is: 105,954.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,868 : 54,339 = 54,339 : x
  2. Step 2: Convert to fraction form
    27,868/54,339 = 54,339/x
  3. Step 3: Cross multiply
    27,868x = 54,339 × 54,339
  4. Step 4: Simplify right side
    27,868x = 2,952,726,921
  5. Step 5: Solve for x
    x = 2,952,726,921/27,868
  6. Step 6: Final answer
    x = 105,954.03

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.