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Finding the Third Proportional to 962.72 and 1,993.78

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Solution

The third proportional to 962.72 and 1,993.78 is: 4,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.72 : 1,993.78 = 1,993.78 : x
  2. Step 2: Convert to fraction form
    962.72/1,993.78 = 1,993.78/x
  3. Step 3: Cross multiply
    962.72x = 1,993.78 × 1,993.78
  4. Step 4: Simplify right side
    962.72x = 3,975,163.67
  5. Step 5: Solve for x
    x = 3,975,163.67/962.72
  6. Step 6: Final answer
    x = 4,129.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.