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Finding the Third Proportional to 26,186 and 41,804

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Solution

The third proportional to 26,186 and 41,804 is: 66,736.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,186 : 41,804 = 41,804 : x
  2. Step 2: Convert to fraction form
    26,186/41,804 = 41,804/x
  3. Step 3: Cross multiply
    26,186x = 41,804 × 41,804
  4. Step 4: Simplify right side
    26,186x = 1,747,574,416
  5. Step 5: Solve for x
    x = 1,747,574,416/26,186
  6. Step 6: Final answer
    x = 66,736.97

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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.