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Finding the Third Proportional to 4,185 and 5,738.44

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Solution

The third proportional to 4,185 and 5,738.44 is: 7,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185 : 5,738.44 = 5,738.44 : x
  2. Step 2: Convert to fraction form
    4,185/5,738.44 = 5,738.44/x
  3. Step 3: Cross multiply
    4,185x = 5,738.44 × 5,738.44
  4. Step 4: Simplify right side
    4,185x = 32,929,664.94
  5. Step 5: Solve for x
    x = 32,929,664.94/4,185
  6. Step 6: Final answer
    x = 7,868.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.