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Finding the Third Proportional to 9,755.44 and 12,772.69

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Solution

The third proportional to 9,755.44 and 12,772.69 is: 16,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.44 : 12,772.69 = 12,772.69 : x
  2. Step 2: Convert to fraction form
    9,755.44/12,772.69 = 12,772.69/x
  3. Step 3: Cross multiply
    9,755.44x = 12,772.69 × 12,772.69
  4. Step 4: Simplify right side
    9,755.44x = 163,141,545.97
  5. Step 5: Solve for x
    x = 163,141,545.97/9,755.44
  6. Step 6: Final answer
    x = 16,723.14

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.