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Finding the Third Proportional to 26,723 and 41,417

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Solution

The third proportional to 26,723 and 41,417 is: 64,190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,723 : 41,417 = 41,417 : x
  2. Step 2: Convert to fraction form
    26,723/41,417 = 41,417/x
  3. Step 3: Cross multiply
    26,723x = 41,417 × 41,417
  4. Step 4: Simplify right side
    26,723x = 1,715,367,889
  5. Step 5: Solve for x
    x = 1,715,367,889/26,723
  6. Step 6: Final answer
    x = 64,190.69

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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.