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Finding the Third Proportional to 9,344.81 and 13,883.34

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Solution

The third proportional to 9,344.81 and 13,883.34 is: 20,626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.81 : 13,883.34 = 13,883.34 : x
  2. Step 2: Convert to fraction form
    9,344.81/13,883.34 = 13,883.34/x
  3. Step 3: Cross multiply
    9,344.81x = 13,883.34 × 13,883.34
  4. Step 4: Simplify right side
    9,344.81x = 192,747,233.68
  5. Step 5: Solve for x
    x = 192,747,233.68/9,344.81
  6. Step 6: Final answer
    x = 20,626.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.