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Finding the Third Proportional to 26,216 and 31,976

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Solution

The third proportional to 26,216 and 31,976 is: 39,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,216 : 31,976 = 31,976 : x
  2. Step 2: Convert to fraction form
    26,216/31,976 = 31,976/x
  3. Step 3: Cross multiply
    26,216x = 31,976 × 31,976
  4. Step 4: Simplify right side
    26,216x = 1,022,464,576
  5. Step 5: Solve for x
    x = 1,022,464,576/26,216
  6. Step 6: Final answer
    x = 39,001.55

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.