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Finding the Third Proportional to 7,514 and 15,734

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Solution

The third proportional to 7,514 and 15,734 is: 32,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514 : 15,734 = 15,734 : x
  2. Step 2: Convert to fraction form
    7,514/15,734 = 15,734/x
  3. Step 3: Cross multiply
    7,514x = 15,734 × 15,734
  4. Step 4: Simplify right side
    7,514x = 247,558,756
  5. Step 5: Solve for x
    x = 247,558,756/7,514
  6. Step 6: Final answer
    x = 32,946.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.