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Finding the Third Proportional to 1,660 and 3,958

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Solution

The third proportional to 1,660 and 3,958 is: 9,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660 : 3,958 = 3,958 : x
  2. Step 2: Convert to fraction form
    1,660/3,958 = 3,958/x
  3. Step 3: Cross multiply
    1,660x = 3,958 × 3,958
  4. Step 4: Simplify right side
    1,660x = 15,665,764
  5. Step 5: Solve for x
    x = 15,665,764/1,660
  6. Step 6: Final answer
    x = 9,437.21

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.