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Finding the Third Proportional to 6,225.75 and 8,754.75

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Solution

The third proportional to 6,225.75 and 8,754.75 is: 12,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.75 : 8,754.75 = 8,754.75 : x
  2. Step 2: Convert to fraction form
    6,225.75/8,754.75 = 8,754.75/x
  3. Step 3: Cross multiply
    6,225.75x = 8,754.75 × 8,754.75
  4. Step 4: Simplify right side
    6,225.75x = 76,645,647.56
  5. Step 5: Solve for x
    x = 76,645,647.56/6,225.75
  6. Step 6: Final answer
    x = 12,311.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.