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Finding the Third Proportional to 1,999 and 2,147

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Solution

The third proportional to 1,999 and 2,147 is: 2,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999 : 2,147 = 2,147 : x
  2. Step 2: Convert to fraction form
    1,999/2,147 = 2,147/x
  3. Step 3: Cross multiply
    1,999x = 2,147 × 2,147
  4. Step 4: Simplify right side
    1,999x = 4,609,609
  5. Step 5: Solve for x
    x = 4,609,609/1,999
  6. Step 6: Final answer
    x = 2,305.96

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.