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Finding the Third Proportional to 2,252 and 5,687

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Solution

The third proportional to 2,252 and 5,687 is: 14,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252 : 5,687 = 5,687 : x
  2. Step 2: Convert to fraction form
    2,252/5,687 = 5,687/x
  3. Step 3: Cross multiply
    2,252x = 5,687 × 5,687
  4. Step 4: Simplify right side
    2,252x = 32,341,969
  5. Step 5: Solve for x
    x = 32,341,969/2,252
  6. Step 6: Final answer
    x = 14,361.44

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.