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Finding the Third Proportional to 4,205 and 9,227

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Solution

The third proportional to 4,205 and 9,227 is: 20,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205 : 9,227 = 9,227 : x
  2. Step 2: Convert to fraction form
    4,205/9,227 = 9,227/x
  3. Step 3: Cross multiply
    4,205x = 9,227 × 9,227
  4. Step 4: Simplify right side
    4,205x = 85,137,529
  5. Step 5: Solve for x
    x = 85,137,529/4,205
  6. Step 6: Final answer
    x = 20,246.74

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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.