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Finding the Third Proportional to 9,603 and 20,079

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Solution

The third proportional to 9,603 and 20,079 is: 41,983.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603 : 20,079 = 20,079 : x
  2. Step 2: Convert to fraction form
    9,603/20,079 = 20,079/x
  3. Step 3: Cross multiply
    9,603x = 20,079 × 20,079
  4. Step 4: Simplify right side
    9,603x = 403,166,241
  5. Step 5: Solve for x
    x = 403,166,241/9,603
  6. Step 6: Final answer
    x = 41,983.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.