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Finding the Third Proportional to 35,941 and 77,991

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Solution

The third proportional to 35,941 and 77,991 is: 169,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,941 : 77,991 = 77,991 : x
  2. Step 2: Convert to fraction form
    35,941/77,991 = 77,991/x
  3. Step 3: Cross multiply
    35,941x = 77,991 × 77,991
  4. Step 4: Simplify right side
    35,941x = 6,082,596,081
  5. Step 5: Solve for x
    x = 6,082,596,081/35,941
  6. Step 6: Final answer
    x = 169,238.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.