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Finding the Third Proportional to 7,963.50 and 12,279.75

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Solution

The third proportional to 7,963.50 and 12,279.75 is: 18,935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.50 : 12,279.75 = 12,279.75 : x
  2. Step 2: Convert to fraction form
    7,963.50/12,279.75 = 12,279.75/x
  3. Step 3: Cross multiply
    7,963.50x = 12,279.75 × 12,279.75
  4. Step 4: Simplify right side
    7,963.50x = 150,792,260.06
  5. Step 5: Solve for x
    x = 150,792,260.06/7,963.50
  6. Step 6: Final answer
    x = 18,935.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.