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Finding the Third Proportional to 26,626 and 41,219

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Solution

The third proportional to 26,626 and 41,219 is: 63,810.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,626 : 41,219 = 41,219 : x
  2. Step 2: Convert to fraction form
    26,626/41,219 = 41,219/x
  3. Step 3: Cross multiply
    26,626x = 41,219 × 41,219
  4. Step 4: Simplify right side
    26,626x = 1,699,005,961
  5. Step 5: Solve for x
    x = 1,699,005,961/26,626
  6. Step 6: Final answer
    x = 63,810.03

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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.