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Finding the Third Proportional to 41,721.75 and 86,895

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Solution

The third proportional to 41,721.75 and 86,895 is: 180,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,721.75 : 86,895 = 86,895 : x
  2. Step 2: Convert to fraction form
    41,721.75/86,895 = 86,895/x
  3. Step 3: Cross multiply
    41,721.75x = 86,895 × 86,895
  4. Step 4: Simplify right side
    41,721.75x = 7,550,741,025
  5. Step 5: Solve for x
    x = 7,550,741,025/41,721.75
  6. Step 6: Final answer
    x = 180,978.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.