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Finding the Third Proportional to 27,072 and 58,452

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Solution

The third proportional to 27,072 and 58,452 is: 126,205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,072 : 58,452 = 58,452 : x
  2. Step 2: Convert to fraction form
    27,072/58,452 = 58,452/x
  3. Step 3: Cross multiply
    27,072x = 58,452 × 58,452
  4. Step 4: Simplify right side
    27,072x = 3,416,636,304
  5. Step 5: Solve for x
    x = 3,416,636,304/27,072
  6. Step 6: Final answer
    x = 126,205.54

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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.