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Finding the Third Proportional to 991.93 and 2,163.27

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Solution

The third proportional to 991.93 and 2,163.27 is: 4,717.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.93 : 2,163.27 = 2,163.27 : x
  2. Step 2: Convert to fraction form
    991.93/2,163.27 = 2,163.27/x
  3. Step 3: Cross multiply
    991.93x = 2,163.27 × 2,163.27
  4. Step 4: Simplify right side
    991.93x = 4,679,735.06
  5. Step 5: Solve for x
    x = 4,679,735.06/991.93
  6. Step 6: Final answer
    x = 4,717.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.