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Finding the Third Proportional to 3,271.78 and 4,672.97

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Solution

The third proportional to 3,271.78 and 4,672.97 is: 6,674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.78 : 4,672.97 = 4,672.97 : x
  2. Step 2: Convert to fraction form
    3,271.78/4,672.97 = 4,672.97/x
  3. Step 3: Cross multiply
    3,271.78x = 4,672.97 × 4,672.97
  4. Step 4: Simplify right side
    3,271.78x = 21,836,636.94
  5. Step 5: Solve for x
    x = 21,836,636.94/3,271.78
  6. Step 6: Final answer
    x = 6,674.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.