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Finding the Third Proportional to 26,001 and 37,183.22

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Solution

The third proportional to 26,001 and 37,183.22 is: 53,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,001 : 37,183.22 = 37,183.22 : x
  2. Step 2: Convert to fraction form
    26,001/37,183.22 = 37,183.22/x
  3. Step 3: Cross multiply
    26,001x = 37,183.22 × 37,183.22
  4. Step 4: Simplify right side
    26,001x = 1,382,591,756.61
  5. Step 5: Solve for x
    x = 1,382,591,756.61/26,001
  6. Step 6: Final answer
    x = 53,174.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.