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Finding the Third Proportional to 27,714 and 59,366

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Solution

The third proportional to 27,714 and 59,366 is: 127,167.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714 : 59,366 = 59,366 : x
  2. Step 2: Convert to fraction form
    27,714/59,366 = 59,366/x
  3. Step 3: Cross multiply
    27,714x = 59,366 × 59,366
  4. Step 4: Simplify right side
    27,714x = 3,524,321,956
  5. Step 5: Solve for x
    x = 3,524,321,956/27,714
  6. Step 6: Final answer
    x = 127,167.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.