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Finding the Third Proportional to 3,846.38 and 6,246.56

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Solution

The third proportional to 3,846.38 and 6,246.56 is: 10,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.38 : 6,246.56 = 6,246.56 : x
  2. Step 2: Convert to fraction form
    3,846.38/6,246.56 = 6,246.56/x
  3. Step 3: Cross multiply
    3,846.38x = 6,246.56 × 6,246.56
  4. Step 4: Simplify right side
    3,846.38x = 39,019,543.07
  5. Step 5: Solve for x
    x = 39,019,543.07/3,846.38
  6. Step 6: Final answer
    x = 10,144.50

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.