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Finding the Third Proportional to 26,928 and 35,976

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Solution

The third proportional to 26,928 and 35,976 is: 48,064.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,928 : 35,976 = 35,976 : x
  2. Step 2: Convert to fraction form
    26,928/35,976 = 35,976/x
  3. Step 3: Cross multiply
    26,928x = 35,976 × 35,976
  4. Step 4: Simplify right side
    26,928x = 1,294,272,576
  5. Step 5: Solve for x
    x = 1,294,272,576/26,928
  6. Step 6: Final answer
    x = 48,064.19

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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.