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Finding the Third Proportional to 26,667 and 41,787

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Solution

The third proportional to 26,667 and 41,787 is: 65,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,667 : 41,787 = 41,787 : x
  2. Step 2: Convert to fraction form
    26,667/41,787 = 41,787/x
  3. Step 3: Cross multiply
    26,667x = 41,787 × 41,787
  4. Step 4: Simplify right side
    26,667x = 1,746,153,369
  5. Step 5: Solve for x
    x = 1,746,153,369/26,667
  6. Step 6: Final answer
    x = 65,479.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.