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Finding the Third Proportional to 9,726.75 and 11,162.81

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Solution

The third proportional to 9,726.75 and 11,162.81 is: 12,810.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.75 : 11,162.81 = 11,162.81 : x
  2. Step 2: Convert to fraction form
    9,726.75/11,162.81 = 11,162.81/x
  3. Step 3: Cross multiply
    9,726.75x = 11,162.81 × 11,162.81
  4. Step 4: Simplify right side
    9,726.75x = 124,608,382.91
  5. Step 5: Solve for x
    x = 124,608,382.91/9,726.75
  6. Step 6: Final answer
    x = 12,810.90

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.