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Finding the Third Proportional to 2,185 and 3,970

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Solution

The third proportional to 2,185 and 3,970 is: 7,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185 : 3,970 = 3,970 : x
  2. Step 2: Convert to fraction form
    2,185/3,970 = 3,970/x
  3. Step 3: Cross multiply
    2,185x = 3,970 × 3,970
  4. Step 4: Simplify right side
    2,185x = 15,760,900
  5. Step 5: Solve for x
    x = 15,760,900/2,185
  6. Step 6: Final answer
    x = 7,213.23

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.