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Finding the Third Proportional to 27,184 and 41,828

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Solution

The third proportional to 27,184 and 41,828 is: 64,360.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,184 : 41,828 = 41,828 : x
  2. Step 2: Convert to fraction form
    27,184/41,828 = 41,828/x
  3. Step 3: Cross multiply
    27,184x = 41,828 × 41,828
  4. Step 4: Simplify right side
    27,184x = 1,749,581,584
  5. Step 5: Solve for x
    x = 1,749,581,584/27,184
  6. Step 6: Final answer
    x = 64,360.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.