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Finding the Third Proportional to 2,173 and 4,238

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Solution

The third proportional to 2,173 and 4,238 is: 8,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173 : 4,238 = 4,238 : x
  2. Step 2: Convert to fraction form
    2,173/4,238 = 4,238/x
  3. Step 3: Cross multiply
    2,173x = 4,238 × 4,238
  4. Step 4: Simplify right side
    2,173x = 17,960,644
  5. Step 5: Solve for x
    x = 17,960,644/2,173
  6. Step 6: Final answer
    x = 8,265.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.