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Finding the Third Proportional to 27,868 and 60,344

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Solution

The third proportional to 27,868 and 60,344 is: 130,665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,868 : 60,344 = 60,344 : x
  2. Step 2: Convert to fraction form
    27,868/60,344 = 60,344/x
  3. Step 3: Cross multiply
    27,868x = 60,344 × 60,344
  4. Step 4: Simplify right side
    27,868x = 3,641,398,336
  5. Step 5: Solve for x
    x = 3,641,398,336/27,868
  6. Step 6: Final answer
    x = 130,665.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.