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Finding the Third Proportional to 27,220 and 58,760

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Solution

The third proportional to 27,220 and 58,760 is: 126,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,220 : 58,760 = 58,760 : x
  2. Step 2: Convert to fraction form
    27,220/58,760 = 58,760/x
  3. Step 3: Cross multiply
    27,220x = 58,760 × 58,760
  4. Step 4: Simplify right side
    27,220x = 3,452,737,600
  5. Step 5: Solve for x
    x = 3,452,737,600/27,220
  6. Step 6: Final answer
    x = 126,845.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.