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Finding the Third Proportional to 5,214 and 10,639

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Solution

The third proportional to 5,214 and 10,639 is: 21,708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214 : 10,639 = 10,639 : x
  2. Step 2: Convert to fraction form
    5,214/10,639 = 10,639/x
  3. Step 3: Cross multiply
    5,214x = 10,639 × 10,639
  4. Step 4: Simplify right side
    5,214x = 113,188,321
  5. Step 5: Solve for x
    x = 113,188,321/5,214
  6. Step 6: Final answer
    x = 21,708.54

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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.