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Finding the Third Proportional to 7,514 and 8,738

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Solution

The third proportional to 7,514 and 8,738 is: 10,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514 : 8,738 = 8,738 : x
  2. Step 2: Convert to fraction form
    7,514/8,738 = 8,738/x
  3. Step 3: Cross multiply
    7,514x = 8,738 × 8,738
  4. Step 4: Simplify right side
    7,514x = 76,352,644
  5. Step 5: Solve for x
    x = 76,352,644/7,514
  6. Step 6: Final answer
    x = 10,161.38

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.