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Finding the Third Proportional to 26,181 and 41,796

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Solution

The third proportional to 26,181 and 41,796 is: 66,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,181 : 41,796 = 41,796 : x
  2. Step 2: Convert to fraction form
    26,181/41,796 = 41,796/x
  3. Step 3: Cross multiply
    26,181x = 41,796 × 41,796
  4. Step 4: Simplify right side
    26,181x = 1,746,905,616
  5. Step 5: Solve for x
    x = 1,746,905,616/26,181
  6. Step 6: Final answer
    x = 66,724.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.