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Finding the Third Proportional to 3,184.31 and 4,738.92

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Solution

The third proportional to 3,184.31 and 4,738.92 is: 7,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.31 : 4,738.92 = 4,738.92 : x
  2. Step 2: Convert to fraction form
    3,184.31/4,738.92 = 4,738.92/x
  3. Step 3: Cross multiply
    3,184.31x = 4,738.92 × 4,738.92
  4. Step 4: Simplify right side
    3,184.31x = 22,457,380.54
  5. Step 5: Solve for x
    x = 22,457,380.54/3,184.31
  6. Step 6: Final answer
    x = 7,052.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.