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Finding the Third Proportional to 8,262.50 and 18,165.25

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Solution

The third proportional to 8,262.50 and 18,165.25 is: 39,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.50 : 18,165.25 = 18,165.25 : x
  2. Step 2: Convert to fraction form
    8,262.50/18,165.25 = 18,165.25/x
  3. Step 3: Cross multiply
    8,262.50x = 18,165.25 × 18,165.25
  4. Step 4: Simplify right side
    8,262.50x = 329,976,307.56
  5. Step 5: Solve for x
    x = 329,976,307.56/8,262.50
  6. Step 6: Final answer
    x = 39,936.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.