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Finding the Third Proportional to 9,603 and 20,846

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Solution

The third proportional to 9,603 and 20,846 is: 45,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603 : 20,846 = 20,846 : x
  2. Step 2: Convert to fraction form
    9,603/20,846 = 20,846/x
  3. Step 3: Cross multiply
    9,603x = 20,846 × 20,846
  4. Step 4: Simplify right side
    9,603x = 434,555,716
  5. Step 5: Solve for x
    x = 434,555,716/9,603
  6. Step 6: Final answer
    x = 45,252.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.