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Finding the Third Proportional to 27,675 and 41,546.25

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Solution

The third proportional to 27,675 and 41,546.25 is: 62,370.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675 : 41,546.25 = 41,546.25 : x
  2. Step 2: Convert to fraction form
    27,675/41,546.25 = 41,546.25/x
  3. Step 3: Cross multiply
    27,675x = 41,546.25 × 41,546.25
  4. Step 4: Simplify right side
    27,675x = 1,726,090,889.06
  5. Step 5: Solve for x
    x = 1,726,090,889.06/27,675
  6. Step 6: Final answer
    x = 62,370.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.