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Finding the Third Proportional to 4,743.56 and 6,993.84

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Solution

The third proportional to 4,743.56 and 6,993.84 is: 10,311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.56 : 6,993.84 = 6,993.84 : x
  2. Step 2: Convert to fraction form
    4,743.56/6,993.84 = 6,993.84/x
  3. Step 3: Cross multiply
    4,743.56x = 6,993.84 × 6,993.84
  4. Step 4: Simplify right side
    4,743.56x = 48,913,850.40
  5. Step 5: Solve for x
    x = 48,913,850.40/4,743.56
  6. Step 6: Final answer
    x = 10,311.63

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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.