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Finding the Third Proportional to 26,048 and 36,881

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Solution

The third proportional to 26,048 and 36,881 is: 52,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,048 : 36,881 = 36,881 : x
  2. Step 2: Convert to fraction form
    26,048/36,881 = 36,881/x
  3. Step 3: Cross multiply
    26,048x = 36,881 × 36,881
  4. Step 4: Simplify right side
    26,048x = 1,360,208,161
  5. Step 5: Solve for x
    x = 1,360,208,161/26,048
  6. Step 6: Final answer
    x = 52,219.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.