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Finding the Third Proportional to 7,007.25 and 10,713.75

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Solution

The third proportional to 7,007.25 and 10,713.75 is: 16,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.25 : 10,713.75 = 10,713.75 : x
  2. Step 2: Convert to fraction form
    7,007.25/10,713.75 = 10,713.75/x
  3. Step 3: Cross multiply
    7,007.25x = 10,713.75 × 10,713.75
  4. Step 4: Simplify right side
    7,007.25x = 114,784,439.06
  5. Step 5: Solve for x
    x = 114,784,439.06/7,007.25
  6. Step 6: Final answer
    x = 16,380.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.