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Finding the Third Proportional to 2,003 and 4,062

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Solution

The third proportional to 2,003 and 4,062 is: 8,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003 : 4,062 = 4,062 : x
  2. Step 2: Convert to fraction form
    2,003/4,062 = 4,062/x
  3. Step 3: Cross multiply
    2,003x = 4,062 × 4,062
  4. Step 4: Simplify right side
    2,003x = 16,499,844
  5. Step 5: Solve for x
    x = 16,499,844/2,003
  6. Step 6: Final answer
    x = 8,237.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.