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Finding the Third Proportional to 4,198.92 and 6,176.67

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Solution

The third proportional to 4,198.92 and 6,176.67 is: 9,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.92 : 6,176.67 = 6,176.67 : x
  2. Step 2: Convert to fraction form
    4,198.92/6,176.67 = 6,176.67/x
  3. Step 3: Cross multiply
    4,198.92x = 6,176.67 × 6,176.67
  4. Step 4: Simplify right side
    4,198.92x = 38,151,275.45
  5. Step 5: Solve for x
    x = 38,151,275.45/4,198.92
  6. Step 6: Final answer
    x = 9,085.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.