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Finding the Third Proportional to 11,514 and 25,450

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Solution

The third proportional to 11,514 and 25,450 is: 56,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514 : 25,450 = 25,450 : x
  2. Step 2: Convert to fraction form
    11,514/25,450 = 25,450/x
  3. Step 3: Cross multiply
    11,514x = 25,450 × 25,450
  4. Step 4: Simplify right side
    11,514x = 647,702,500
  5. Step 5: Solve for x
    x = 647,702,500/11,514
  6. Step 6: Final answer
    x = 56,253.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.