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Finding the Third Proportional to 3,234.94 and 4,806.84

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Solution

The third proportional to 3,234.94 and 4,806.84 is: 7,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.94 : 4,806.84 = 4,806.84 : x
  2. Step 2: Convert to fraction form
    3,234.94/4,806.84 = 4,806.84/x
  3. Step 3: Cross multiply
    3,234.94x = 4,806.84 × 4,806.84
  4. Step 4: Simplify right side
    3,234.94x = 23,105,746.84
  5. Step 5: Solve for x
    x = 23,105,746.84/3,234.94
  6. Step 6: Final answer
    x = 7,142.56

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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.