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Finding the Third Proportional to 3,233.81 and 7,073.16

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Solution

The third proportional to 3,233.81 and 7,073.16 is: 15,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.81 : 7,073.16 = 7,073.16 : x
  2. Step 2: Convert to fraction form
    3,233.81/7,073.16 = 7,073.16/x
  3. Step 3: Cross multiply
    3,233.81x = 7,073.16 × 7,073.16
  4. Step 4: Simplify right side
    3,233.81x = 50,029,539.34
  5. Step 5: Solve for x
    x = 50,029,539.34/3,233.81
  6. Step 6: Final answer
    x = 15,470.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.