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Finding the Third Proportional to 7,863.75 and 17,178.75

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Solution

The third proportional to 7,863.75 and 17,178.75 is: 37,527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.75 : 17,178.75 = 17,178.75 : x
  2. Step 2: Convert to fraction form
    7,863.75/17,178.75 = 17,178.75/x
  3. Step 3: Cross multiply
    7,863.75x = 17,178.75 × 17,178.75
  4. Step 4: Simplify right side
    7,863.75x = 295,109,451.56
  5. Step 5: Solve for x
    x = 295,109,451.56/7,863.75
  6. Step 6: Final answer
    x = 37,527.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.