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Finding the Third Proportional to 10,198.69 and 21,603.38

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Solution

The third proportional to 10,198.69 and 21,603.38 is: 45,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.69 : 21,603.38 = 21,603.38 : x
  2. Step 2: Convert to fraction form
    10,198.69/21,603.38 = 21,603.38/x
  3. Step 3: Cross multiply
    10,198.69x = 21,603.38 × 21,603.38
  4. Step 4: Simplify right side
    10,198.69x = 466,705,811.39
  5. Step 5: Solve for x
    x = 466,705,811.39/10,198.69
  6. Step 6: Final answer
    x = 45,761.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.