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Finding the Third Proportional to 35,646 and 75,879

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Solution

The third proportional to 35,646 and 75,879 is: 161,522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,646 : 75,879 = 75,879 : x
  2. Step 2: Convert to fraction form
    35,646/75,879 = 75,879/x
  3. Step 3: Cross multiply
    35,646x = 75,879 × 75,879
  4. Step 4: Simplify right side
    35,646x = 5,757,622,641
  5. Step 5: Solve for x
    x = 5,757,622,641/35,646
  6. Step 6: Final answer
    x = 161,522.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.