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Finding the Third Proportional to 11,238 and 23,340

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Solution

The third proportional to 11,238 and 23,340 is: 48,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238 : 23,340 = 23,340 : x
  2. Step 2: Convert to fraction form
    11,238/23,340 = 23,340/x
  3. Step 3: Cross multiply
    11,238x = 23,340 × 23,340
  4. Step 4: Simplify right side
    11,238x = 544,755,600
  5. Step 5: Solve for x
    x = 544,755,600/11,238
  6. Step 6: Final answer
    x = 48,474.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.