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Finding the Third Proportional to 27,930 and 60,774

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Solution

The third proportional to 27,930 and 60,774 is: 132,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,930 : 60,774 = 60,774 : x
  2. Step 2: Convert to fraction form
    27,930/60,774 = 60,774/x
  3. Step 3: Cross multiply
    27,930x = 60,774 × 60,774
  4. Step 4: Simplify right side
    27,930x = 3,693,479,076
  5. Step 5: Solve for x
    x = 3,693,479,076/27,930
  6. Step 6: Final answer
    x = 132,240.57

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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.