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Finding the Third Proportional to 11,214 and 23,794

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Solution

The third proportional to 11,214 and 23,794 is: 50,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214 : 23,794 = 23,794 : x
  2. Step 2: Convert to fraction form
    11,214/23,794 = 23,794/x
  3. Step 3: Cross multiply
    11,214x = 23,794 × 23,794
  4. Step 4: Simplify right side
    11,214x = 566,154,436
  5. Step 5: Solve for x
    x = 566,154,436/11,214
  6. Step 6: Final answer
    x = 50,486.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.