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Finding the Third Proportional to 26,048 and 34,816

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Solution

The third proportional to 26,048 and 34,816 is: 46,535.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,048 : 34,816 = 34,816 : x
  2. Step 2: Convert to fraction form
    26,048/34,816 = 34,816/x
  3. Step 3: Cross multiply
    26,048x = 34,816 × 34,816
  4. Step 4: Simplify right side
    26,048x = 1,212,153,856
  5. Step 5: Solve for x
    x = 1,212,153,856/26,048
  6. Step 6: Final answer
    x = 46,535.39

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.