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Finding the Third Proportional to 3,233.81 and 4,260.94

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Solution

The third proportional to 3,233.81 and 4,260.94 is: 5,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.81 : 4,260.94 = 4,260.94 : x
  2. Step 2: Convert to fraction form
    3,233.81/4,260.94 = 4,260.94/x
  3. Step 3: Cross multiply
    3,233.81x = 4,260.94 × 4,260.94
  4. Step 4: Simplify right side
    3,233.81x = 18,155,588.38
  5. Step 5: Solve for x
    x = 18,155,588.38/3,233.81
  6. Step 6: Final answer
    x = 5,614.30

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.