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Finding the Third Proportional to 26,340 and 62,967

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Solution

The third proportional to 26,340 and 62,967 is: 150,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,340 : 62,967 = 62,967 : x
  2. Step 2: Convert to fraction form
    26,340/62,967 = 62,967/x
  3. Step 3: Cross multiply
    26,340x = 62,967 × 62,967
  4. Step 4: Simplify right side
    26,340x = 3,964,843,089
  5. Step 5: Solve for x
    x = 3,964,843,089/26,340
  6. Step 6: Final answer
    x = 150,525.55

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.