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Finding the Third Proportional to 27,787 and 57,517

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Solution

The third proportional to 27,787 and 57,517 is: 119,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,787 : 57,517 = 57,517 : x
  2. Step 2: Convert to fraction form
    27,787/57,517 = 57,517/x
  3. Step 3: Cross multiply
    27,787x = 57,517 × 57,517
  4. Step 4: Simplify right side
    27,787x = 3,308,205,289
  5. Step 5: Solve for x
    x = 3,308,205,289/27,787
  6. Step 6: Final answer
    x = 119,055.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.