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Finding the Third Proportional to 2,853 and 4,238

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Solution

The third proportional to 2,853 and 4,238 is: 6,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853 : 4,238 = 4,238 : x
  2. Step 2: Convert to fraction form
    2,853/4,238 = 4,238/x
  3. Step 3: Cross multiply
    2,853x = 4,238 × 4,238
  4. Step 4: Simplify right side
    2,853x = 17,960,644
  5. Step 5: Solve for x
    x = 17,960,644/2,853
  6. Step 6: Final answer
    x = 6,295.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.