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Finding the Third Proportional to 23,840 and 27,104

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Solution

The third proportional to 23,840 and 27,104 is: 30,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840 : 27,104 = 27,104 : x
  2. Step 2: Convert to fraction form
    23,840/27,104 = 27,104/x
  3. Step 3: Cross multiply
    23,840x = 27,104 × 27,104
  4. Step 4: Simplify right side
    23,840x = 734,626,816
  5. Step 5: Solve for x
    x = 734,626,816/23,840
  6. Step 6: Final answer
    x = 30,814.88

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.