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Finding the Third Proportional to 27,048 and 58,120

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Solution

The third proportional to 27,048 and 58,120 is: 124,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,048 : 58,120 = 58,120 : x
  2. Step 2: Convert to fraction form
    27,048/58,120 = 58,120/x
  3. Step 3: Cross multiply
    27,048x = 58,120 × 58,120
  4. Step 4: Simplify right side
    27,048x = 3,377,934,400
  5. Step 5: Solve for x
    x = 3,377,934,400/27,048
  6. Step 6: Final answer
    x = 124,886.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.