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Finding the Third Proportional to 27,791 and 57,525

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Solution

The third proportional to 27,791 and 57,525 is: 119,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,791 : 57,525 = 57,525 : x
  2. Step 2: Convert to fraction form
    27,791/57,525 = 57,525/x
  3. Step 3: Cross multiply
    27,791x = 57,525 × 57,525
  4. Step 4: Simplify right side
    27,791x = 3,309,125,625
  5. Step 5: Solve for x
    x = 3,309,125,625/27,791
  6. Step 6: Final answer
    x = 119,071.84

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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.