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Finding the Third Proportional to 2,032 and 4,228

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Solution

The third proportional to 2,032 and 4,228 is: 8,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032 : 4,228 = 4,228 : x
  2. Step 2: Convert to fraction form
    2,032/4,228 = 4,228/x
  3. Step 3: Cross multiply
    2,032x = 4,228 × 4,228
  4. Step 4: Simplify right side
    2,032x = 17,875,984
  5. Step 5: Solve for x
    x = 17,875,984/2,032
  6. Step 6: Final answer
    x = 8,797.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.