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Finding the Third Proportional to 9,424 and 20,558

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Solution

The third proportional to 9,424 and 20,558 is: 44,846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424 : 20,558 = 20,558 : x
  2. Step 2: Convert to fraction form
    9,424/20,558 = 20,558/x
  3. Step 3: Cross multiply
    9,424x = 20,558 × 20,558
  4. Step 4: Simplify right side
    9,424x = 422,631,364
  5. Step 5: Solve for x
    x = 422,631,364/9,424
  6. Step 6: Final answer
    x = 44,846.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.