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Finding the Third Proportional to 26,759 and 41,411

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Solution

The third proportional to 26,759 and 41,411 is: 64,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,759 : 41,411 = 41,411 : x
  2. Step 2: Convert to fraction form
    26,759/41,411 = 41,411/x
  3. Step 3: Cross multiply
    26,759x = 41,411 × 41,411
  4. Step 4: Simplify right side
    26,759x = 1,714,870,921
  5. Step 5: Solve for x
    x = 1,714,870,921/26,759
  6. Step 6: Final answer
    x = 64,085.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.