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Finding the Third Proportional to 9,214 and 20,274

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Solution

The third proportional to 9,214 and 20,274 is: 44,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214 : 20,274 = 20,274 : x
  2. Step 2: Convert to fraction form
    9,214/20,274 = 20,274/x
  3. Step 3: Cross multiply
    9,214x = 20,274 × 20,274
  4. Step 4: Simplify right side
    9,214x = 411,035,076
  5. Step 5: Solve for x
    x = 411,035,076/9,214
  6. Step 6: Final answer
    x = 44,609.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.