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Finding the Third Proportional to 9,569 and 20,676

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Solution

The third proportional to 9,569 and 20,676 is: 44,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569 : 20,676 = 20,676 : x
  2. Step 2: Convert to fraction form
    9,569/20,676 = 20,676/x
  3. Step 3: Cross multiply
    9,569x = 20,676 × 20,676
  4. Step 4: Simplify right side
    9,569x = 427,496,976
  5. Step 5: Solve for x
    x = 427,496,976/9,569
  6. Step 6: Final answer
    x = 44,675.20

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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.