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Finding the Third Proportional to 27,048 and 58,662

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Solution

The third proportional to 27,048 and 58,662 is: 127,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,048 : 58,662 = 58,662 : x
  2. Step 2: Convert to fraction form
    27,048/58,662 = 58,662/x
  3. Step 3: Cross multiply
    27,048x = 58,662 × 58,662
  4. Step 4: Simplify right side
    27,048x = 3,441,230,244
  5. Step 5: Solve for x
    x = 3,441,230,244/27,048
  6. Step 6: Final answer
    x = 127,226.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.