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Finding the Third Proportional to 26,240 and 39,976

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Solution

The third proportional to 26,240 and 39,976 is: 60,902.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,240 : 39,976 = 39,976 : x
  2. Step 2: Convert to fraction form
    26,240/39,976 = 39,976/x
  3. Step 3: Cross multiply
    26,240x = 39,976 × 39,976
  4. Step 4: Simplify right side
    26,240x = 1,598,080,576
  5. Step 5: Solve for x
    x = 1,598,080,576/26,240
  6. Step 6: Final answer
    x = 60,902.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.