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Finding the Third Proportional to 40,717 and 86,810

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Solution

The third proportional to 40,717 and 86,810 is: 185,081.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,717 : 86,810 = 86,810 : x
  2. Step 2: Convert to fraction form
    40,717/86,810 = 86,810/x
  3. Step 3: Cross multiply
    40,717x = 86,810 × 86,810
  4. Step 4: Simplify right side
    40,717x = 7,535,976,100
  5. Step 5: Solve for x
    x = 7,535,976,100/40,717
  6. Step 6: Final answer
    x = 185,081.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.