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Finding the Third Proportional to 9,163.76 and 19,996.24

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Solution

The third proportional to 9,163.76 and 19,996.24 is: 43,633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.76 : 19,996.24 = 19,996.24 : x
  2. Step 2: Convert to fraction form
    9,163.76/19,996.24 = 19,996.24/x
  3. Step 3: Cross multiply
    9,163.76x = 19,996.24 × 19,996.24
  4. Step 4: Simplify right side
    9,163.76x = 399,849,701.62
  5. Step 5: Solve for x
    x = 399,849,701.62/9,163.76
  6. Step 6: Final answer
    x = 43,633.81

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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.