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Finding the Third Proportional to 8,215.50 and 12,744.75

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Solution

The third proportional to 8,215.50 and 12,744.75 is: 19,771.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.50 : 12,744.75 = 12,744.75 : x
  2. Step 2: Convert to fraction form
    8,215.50/12,744.75 = 12,744.75/x
  3. Step 3: Cross multiply
    8,215.50x = 12,744.75 × 12,744.75
  4. Step 4: Simplify right side
    8,215.50x = 162,428,652.56
  5. Step 5: Solve for x
    x = 162,428,652.56/8,215.50
  6. Step 6: Final answer
    x = 19,771.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.