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Finding the Third Proportional to 7,723.50 and 16,963.50

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Solution

The third proportional to 7,723.50 and 16,963.50 is: 37,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.50 : 16,963.50 = 16,963.50 : x
  2. Step 2: Convert to fraction form
    7,723.50/16,963.50 = 16,963.50/x
  3. Step 3: Cross multiply
    7,723.50x = 16,963.50 × 16,963.50
  4. Step 4: Simplify right side
    7,723.50x = 287,760,332.25
  5. Step 5: Solve for x
    x = 287,760,332.25/7,723.50
  6. Step 6: Final answer
    x = 37,257.76

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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.