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Finding the Third Proportional to 850 and 2,302

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Solution

The third proportional to 850 and 2,302 is: 6,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    850 : 2,302 = 2,302 : x
  2. Step 2: Convert to fraction form
    850/2,302 = 2,302/x
  3. Step 3: Cross multiply
    850x = 2,302 × 2,302
  4. Step 4: Simplify right side
    850x = 5,299,204
  5. Step 5: Solve for x
    x = 5,299,204/850
  6. Step 6: Final answer
    x = 6,234.36

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.