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Finding the Third Proportional to 1,999 and 4,397

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Solution

The third proportional to 1,999 and 4,397 is: 9,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999 : 4,397 = 4,397 : x
  2. Step 2: Convert to fraction form
    1,999/4,397 = 4,397/x
  3. Step 3: Cross multiply
    1,999x = 4,397 × 4,397
  4. Step 4: Simplify right side
    1,999x = 19,333,609
  5. Step 5: Solve for x
    x = 19,333,609/1,999
  6. Step 6: Final answer
    x = 9,671.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.