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Finding the Third Proportional to 10,917 and 23,400

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Solution

The third proportional to 10,917 and 23,400 is: 50,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917 : 23,400 = 23,400 : x
  2. Step 2: Convert to fraction form
    10,917/23,400 = 23,400/x
  3. Step 3: Cross multiply
    10,917x = 23,400 × 23,400
  4. Step 4: Simplify right side
    10,917x = 547,560,000
  5. Step 5: Solve for x
    x = 547,560,000/10,917
  6. Step 6: Final answer
    x = 50,156.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.