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Finding the Third Proportional to 27,986 and 61,108

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Solution

The third proportional to 27,986 and 61,108 is: 133,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,986 : 61,108 = 61,108 : x
  2. Step 2: Convert to fraction form
    27,986/61,108 = 61,108/x
  3. Step 3: Cross multiply
    27,986x = 61,108 × 61,108
  4. Step 4: Simplify right side
    27,986x = 3,734,187,664
  5. Step 5: Solve for x
    x = 3,734,187,664/27,986
  6. Step 6: Final answer
    x = 133,430.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.