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Finding the Third Proportional to 26,278 and 39,961

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Solution

The third proportional to 26,278 and 39,961 is: 60,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,278 : 39,961 = 39,961 : x
  2. Step 2: Convert to fraction form
    26,278/39,961 = 39,961/x
  3. Step 3: Cross multiply
    26,278x = 39,961 × 39,961
  4. Step 4: Simplify right side
    26,278x = 1,596,881,521
  5. Step 5: Solve for x
    x = 1,596,881,521/26,278
  6. Step 6: Final answer
    x = 60,768.76

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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.