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Finding the Third Proportional to 1,662 and 1,833

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Solution

The third proportional to 1,662 and 1,833 is: 2,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662 : 1,833 = 1,833 : x
  2. Step 2: Convert to fraction form
    1,662/1,833 = 1,833/x
  3. Step 3: Cross multiply
    1,662x = 1,833 × 1,833
  4. Step 4: Simplify right side
    1,662x = 3,359,889
  5. Step 5: Solve for x
    x = 3,359,889/1,662
  6. Step 6: Final answer
    x = 2,021.59

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.