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Finding the Third Proportional to 27,048 and 58,416

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Solution

The third proportional to 27,048 and 58,416 is: 126,161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,048 : 58,416 = 58,416 : x
  2. Step 2: Convert to fraction form
    27,048/58,416 = 58,416/x
  3. Step 3: Cross multiply
    27,048x = 58,416 × 58,416
  4. Step 4: Simplify right side
    27,048x = 3,412,429,056
  5. Step 5: Solve for x
    x = 3,412,429,056/27,048
  6. Step 6: Final answer
    x = 126,161.97

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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.