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Finding the Third Proportional to 4,271.91 and 8,975.25

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Solution

The third proportional to 4,271.91 and 8,975.25 is: 18,856.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.91 : 8,975.25 = 8,975.25 : x
  2. Step 2: Convert to fraction form
    4,271.91/8,975.25 = 8,975.25/x
  3. Step 3: Cross multiply
    4,271.91x = 8,975.25 × 8,975.25
  4. Step 4: Simplify right side
    4,271.91x = 80,555,112.56
  5. Step 5: Solve for x
    x = 80,555,112.56/4,271.91
  6. Step 6: Final answer
    x = 18,856.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.