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Finding the Third Proportional to 8,237.25 and 17,965.69

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Solution

The third proportional to 8,237.25 and 17,965.69 is: 39,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.25 : 17,965.69 = 17,965.69 : x
  2. Step 2: Convert to fraction form
    8,237.25/17,965.69 = 17,965.69/x
  3. Step 3: Cross multiply
    8,237.25x = 17,965.69 × 17,965.69
  4. Step 4: Simplify right side
    8,237.25x = 322,765,927.35
  5. Step 5: Solve for x
    x = 322,765,927.35/8,237.25
  6. Step 6: Final answer
    x = 39,183.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.