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Finding the Third Proportional to 3,822.19 and 6,738.19

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Solution

The third proportional to 3,822.19 and 6,738.19 is: 11,878.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.19 : 6,738.19 = 6,738.19 : x
  2. Step 2: Convert to fraction form
    3,822.19/6,738.19 = 6,738.19/x
  3. Step 3: Cross multiply
    3,822.19x = 6,738.19 × 6,738.19
  4. Step 4: Simplify right side
    3,822.19x = 45,403,170.79
  5. Step 5: Solve for x
    x = 45,403,170.79/3,822.19
  6. Step 6: Final answer
    x = 11,878.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.