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Finding the Third Proportional to 41,736 and 98,424.75

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Solution

The third proportional to 41,736 and 98,424.75 is: 232,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,736 : 98,424.75 = 98,424.75 : x
  2. Step 2: Convert to fraction form
    41,736/98,424.75 = 98,424.75/x
  3. Step 3: Cross multiply
    41,736x = 98,424.75 × 98,424.75
  4. Step 4: Simplify right side
    41,736x = 9,687,431,412.56
  5. Step 5: Solve for x
    x = 9,687,431,412.56/41,736
  6. Step 6: Final answer
    x = 232,112.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.