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Finding the Third Proportional to 3,812.91 and 8,111.81

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Solution

The third proportional to 3,812.91 and 8,111.81 is: 17,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.91 : 8,111.81 = 8,111.81 : x
  2. Step 2: Convert to fraction form
    3,812.91/8,111.81 = 8,111.81/x
  3. Step 3: Cross multiply
    3,812.91x = 8,111.81 × 8,111.81
  4. Step 4: Simplify right side
    3,812.91x = 65,801,502.04
  5. Step 5: Solve for x
    x = 65,801,502.04/3,812.91
  6. Step 6: Final answer
    x = 17,257.57

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.