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Finding the Third Proportional to 11,048 and 23,390

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Solution

The third proportional to 11,048 and 23,390 is: 49,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048 : 23,390 = 23,390 : x
  2. Step 2: Convert to fraction form
    11,048/23,390 = 23,390/x
  3. Step 3: Cross multiply
    11,048x = 23,390 × 23,390
  4. Step 4: Simplify right side
    11,048x = 547,092,100
  5. Step 5: Solve for x
    x = 547,092,100/11,048
  6. Step 6: Final answer
    x = 49,519.56

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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.