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Finding the Third Proportional to 4,217 and 9,244

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Solution

The third proportional to 4,217 and 9,244 is: 20,263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217 : 9,244 = 9,244 : x
  2. Step 2: Convert to fraction form
    4,217/9,244 = 9,244/x
  3. Step 3: Cross multiply
    4,217x = 9,244 × 9,244
  4. Step 4: Simplify right side
    4,217x = 85,451,536
  5. Step 5: Solve for x
    x = 85,451,536/4,217
  6. Step 6: Final answer
    x = 20,263.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.