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Finding the Third Proportional to 26,768 and 35,916

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Solution

The third proportional to 26,768 and 35,916 is: 48,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,768 : 35,916 = 35,916 : x
  2. Step 2: Convert to fraction form
    26,768/35,916 = 35,916/x
  3. Step 3: Cross multiply
    26,768x = 35,916 × 35,916
  4. Step 4: Simplify right side
    26,768x = 1,289,959,056
  5. Step 5: Solve for x
    x = 1,289,959,056/26,768
  6. Step 6: Final answer
    x = 48,190.34

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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.