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Finding the Third Proportional to 3,185 and 5,223

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Solution

The third proportional to 3,185 and 5,223 is: 8,565.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185 : 5,223 = 5,223 : x
  2. Step 2: Convert to fraction form
    3,185/5,223 = 5,223/x
  3. Step 3: Cross multiply
    3,185x = 5,223 × 5,223
  4. Step 4: Simplify right side
    3,185x = 27,279,729
  5. Step 5: Solve for x
    x = 27,279,729/3,185
  6. Step 6: Final answer
    x = 8,565.06

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.