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Finding the Third Proportional to 2,032 and 4,427

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Solution

The third proportional to 2,032 and 4,427 is: 9,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032 : 4,427 = 4,427 : x
  2. Step 2: Convert to fraction form
    2,032/4,427 = 4,427/x
  3. Step 3: Cross multiply
    2,032x = 4,427 × 4,427
  4. Step 4: Simplify right side
    2,032x = 19,598,329
  5. Step 5: Solve for x
    x = 19,598,329/2,032
  6. Step 6: Final answer
    x = 9,644.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.