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Finding the Third Proportional to 9,622 and 20,780

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Solution

The third proportional to 9,622 and 20,780 is: 44,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622 : 20,780 = 20,780 : x
  2. Step 2: Convert to fraction form
    9,622/20,780 = 20,780/x
  3. Step 3: Cross multiply
    9,622x = 20,780 × 20,780
  4. Step 4: Simplify right side
    9,622x = 431,808,400
  5. Step 5: Solve for x
    x = 431,808,400/9,622
  6. Step 6: Final answer
    x = 44,877.20

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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.