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Finding the Third Proportional to 27,228 and 58,604

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Solution

The third proportional to 27,228 and 58,604 is: 126,135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,228 : 58,604 = 58,604 : x
  2. Step 2: Convert to fraction form
    27,228/58,604 = 58,604/x
  3. Step 3: Cross multiply
    27,228x = 58,604 × 58,604
  4. Step 4: Simplify right side
    27,228x = 3,434,428,816
  5. Step 5: Solve for x
    x = 3,434,428,816/27,228
  6. Step 6: Final answer
    x = 126,135.92

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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.