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Finding the Third Proportional to 5,214 and 10,635

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Solution

The third proportional to 5,214 and 10,635 is: 21,692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214 : 10,635 = 10,635 : x
  2. Step 2: Convert to fraction form
    5,214/10,635 = 10,635/x
  3. Step 3: Cross multiply
    5,214x = 10,635 × 10,635
  4. Step 4: Simplify right side
    5,214x = 113,103,225
  5. Step 5: Solve for x
    x = 113,103,225/5,214
  6. Step 6: Final answer
    x = 21,692.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.