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Finding the Third Proportional to 26,032 and 41,416

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Solution

The third proportional to 26,032 and 41,416 is: 65,891.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,032 : 41,416 = 41,416 : x
  2. Step 2: Convert to fraction form
    26,032/41,416 = 41,416/x
  3. Step 3: Cross multiply
    26,032x = 41,416 × 41,416
  4. Step 4: Simplify right side
    26,032x = 1,715,285,056
  5. Step 5: Solve for x
    x = 1,715,285,056/26,032
  6. Step 6: Final answer
    x = 65,891.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.