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Finding the Third Proportional to 3,812.70 and 7,917.12

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Solution

The third proportional to 3,812.70 and 7,917.12 is: 16,440.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.70 : 7,917.12 = 7,917.12 : x
  2. Step 2: Convert to fraction form
    3,812.70/7,917.12 = 7,917.12/x
  3. Step 3: Cross multiply
    3,812.70x = 7,917.12 × 7,917.12
  4. Step 4: Simplify right side
    3,812.70x = 62,680,744.56
  5. Step 5: Solve for x
    x = 62,680,744.56/3,812.70
  6. Step 6: Final answer
    x = 16,440.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.