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Finding the Third Proportional to 9,554 and 20,554

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Solution

The third proportional to 9,554 and 20,554 is: 44,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554 : 20,554 = 20,554 : x
  2. Step 2: Convert to fraction form
    9,554/20,554 = 20,554/x
  3. Step 3: Cross multiply
    9,554x = 20,554 × 20,554
  4. Step 4: Simplify right side
    9,554x = 422,466,916
  5. Step 5: Solve for x
    x = 422,466,916/9,554
  6. Step 6: Final answer
    x = 44,218.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.