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Finding the Third Proportional to 36,722.25 and 76,637.25

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Solution

The third proportional to 36,722.25 and 76,637.25 is: 159,937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,722.25 : 76,637.25 = 76,637.25 : x
  2. Step 2: Convert to fraction form
    36,722.25/76,637.25 = 76,637.25/x
  3. Step 3: Cross multiply
    36,722.25x = 76,637.25 × 76,637.25
  4. Step 4: Simplify right side
    36,722.25x = 5,873,268,087.56
  5. Step 5: Solve for x
    x = 5,873,268,087.56/36,722.25
  6. Step 6: Final answer
    x = 159,937.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.