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Finding the Third Proportional to 17,782.88 and 36,183.38

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Solution

The third proportional to 17,782.88 and 36,183.38 is: 73,623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.88 : 36,183.38 = 36,183.38 : x
  2. Step 2: Convert to fraction form
    17,782.88/36,183.38 = 36,183.38/x
  3. Step 3: Cross multiply
    17,782.88x = 36,183.38 × 36,183.38
  4. Step 4: Simplify right side
    17,782.88x = 1,309,236,626.39
  5. Step 5: Solve for x
    x = 1,309,236,626.39/17,782.88
  6. Step 6: Final answer
    x = 73,623.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.