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Finding the Third Proportional to 3,201 and 4,185

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Solution

The third proportional to 3,201 and 4,185 is: 5,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201 : 4,185 = 4,185 : x
  2. Step 2: Convert to fraction form
    3,201/4,185 = 4,185/x
  3. Step 3: Cross multiply
    3,201x = 4,185 × 4,185
  4. Step 4: Simplify right side
    3,201x = 17,514,225
  5. Step 5: Solve for x
    x = 17,514,225/3,201
  6. Step 6: Final answer
    x = 5,471.49

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.