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Finding the Third Proportional to 10,174.36 and 21,993.82

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Solution

The third proportional to 10,174.36 and 21,993.82 is: 47,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.36 : 21,993.82 = 21,993.82 : x
  2. Step 2: Convert to fraction form
    10,174.36/21,993.82 = 21,993.82/x
  3. Step 3: Cross multiply
    10,174.36x = 21,993.82 × 21,993.82
  4. Step 4: Simplify right side
    10,174.36x = 483,728,131.94
  5. Step 5: Solve for x
    x = 483,728,131.94/10,174.36
  6. Step 6: Final answer
    x = 47,543.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.