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Finding the Third Proportional to 24,864 and 52,608

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Solution

The third proportional to 24,864 and 52,608 is: 111,309.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,864 : 52,608 = 52,608 : x
  2. Step 2: Convert to fraction form
    24,864/52,608 = 52,608/x
  3. Step 3: Cross multiply
    24,864x = 52,608 × 52,608
  4. Step 4: Simplify right side
    24,864x = 2,767,601,664
  5. Step 5: Solve for x
    x = 2,767,601,664/24,864
  6. Step 6: Final answer
    x = 111,309.59

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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.