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Finding the Third Proportional to 36,850 and 86,619.75

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Solution

The third proportional to 36,850 and 86,619.75 is: 203,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,850 : 86,619.75 = 86,619.75 : x
  2. Step 2: Convert to fraction form
    36,850/86,619.75 = 86,619.75/x
  3. Step 3: Cross multiply
    36,850x = 86,619.75 × 86,619.75
  4. Step 4: Simplify right side
    36,850x = 7,502,981,090.06
  5. Step 5: Solve for x
    x = 7,502,981,090.06/36,850
  6. Step 6: Final answer
    x = 203,608.71

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.