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Finding the Third Proportional to 9,774 and 20,763

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Solution

The third proportional to 9,774 and 20,763 is: 44,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774 : 20,763 = 20,763 : x
  2. Step 2: Convert to fraction form
    9,774/20,763 = 20,763/x
  3. Step 3: Cross multiply
    9,774x = 20,763 × 20,763
  4. Step 4: Simplify right side
    9,774x = 431,102,169
  5. Step 5: Solve for x
    x = 431,102,169/9,774
  6. Step 6: Final answer
    x = 44,107.04

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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.