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Finding the Third Proportional to 27,105 and 41,713

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Solution

The third proportional to 27,105 and 41,713 is: 64,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,105 : 41,713 = 41,713 : x
  2. Step 2: Convert to fraction form
    27,105/41,713 = 41,713/x
  3. Step 3: Cross multiply
    27,105x = 41,713 × 41,713
  4. Step 4: Simplify right side
    27,105x = 1,739,974,369
  5. Step 5: Solve for x
    x = 1,739,974,369/27,105
  6. Step 6: Final answer
    x = 64,193.85

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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.