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Finding the Third Proportional to 15,214 and 20,350

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Solution

The third proportional to 15,214 and 20,350 is: 27,219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,214 : 20,350 = 20,350 : x
  2. Step 2: Convert to fraction form
    15,214/20,350 = 20,350/x
  3. Step 3: Cross multiply
    15,214x = 20,350 × 20,350
  4. Step 4: Simplify right side
    15,214x = 414,122,500
  5. Step 5: Solve for x
    x = 414,122,500/15,214
  6. Step 6: Final answer
    x = 27,219.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.