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Finding the Third Proportional to 26,448 and 54,816

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Solution

The third proportional to 26,448 and 54,816 is: 113,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,448 : 54,816 = 54,816 : x
  2. Step 2: Convert to fraction form
    26,448/54,816 = 54,816/x
  3. Step 3: Cross multiply
    26,448x = 54,816 × 54,816
  4. Step 4: Simplify right side
    26,448x = 3,004,793,856
  5. Step 5: Solve for x
    x = 3,004,793,856/26,448
  6. Step 6: Final answer
    x = 113,611.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.