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Finding the Third Proportional to 9,318.94 and 13,983.19

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Solution

The third proportional to 9,318.94 and 13,983.19 is: 20,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.94 : 13,983.19 = 13,983.19 : x
  2. Step 2: Convert to fraction form
    9,318.94/13,983.19 = 13,983.19/x
  3. Step 3: Cross multiply
    9,318.94x = 13,983.19 × 13,983.19
  4. Step 4: Simplify right side
    9,318.94x = 195,529,532.66
  5. Step 5: Solve for x
    x = 195,529,532.66/9,318.94
  6. Step 6: Final answer
    x = 20,981.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.