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Finding the Third Proportional to 36,537.75 and 86,518.13

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Solution

The third proportional to 36,537.75 and 86,518.13 is: 204,867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,537.75 : 86,518.13 = 86,518.13 : x
  2. Step 2: Convert to fraction form
    36,537.75/86,518.13 = 86,518.13/x
  3. Step 3: Cross multiply
    36,537.75x = 86,518.13 × 86,518.13
  4. Step 4: Simplify right side
    36,537.75x = 7,485,385,953.52
  5. Step 5: Solve for x
    x = 7,485,385,953.52/36,537.75
  6. Step 6: Final answer
    x = 204,867.18

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.