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Finding the Third Proportional to 27,228 and 41,652

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Solution

The third proportional to 27,228 and 41,652 is: 63,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,228 : 41,652 = 41,652 : x
  2. Step 2: Convert to fraction form
    27,228/41,652 = 41,652/x
  3. Step 3: Cross multiply
    27,228x = 41,652 × 41,652
  4. Step 4: Simplify right side
    27,228x = 1,734,889,104
  5. Step 5: Solve for x
    x = 1,734,889,104/27,228
  6. Step 6: Final answer
    x = 63,717.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.