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Finding the Third Proportional to 36,855 and 86,637

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Solution

The third proportional to 36,855 and 86,637 is: 203,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,855 : 86,637 = 86,637 : x
  2. Step 2: Convert to fraction form
    36,855/86,637 = 86,637/x
  3. Step 3: Cross multiply
    36,855x = 86,637 × 86,637
  4. Step 4: Simplify right side
    36,855x = 7,505,969,769
  5. Step 5: Solve for x
    x = 7,505,969,769/36,855
  6. Step 6: Final answer
    x = 203,662.18

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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.