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Finding the Third Proportional to 7,514 and 11,497

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Solution

The third proportional to 7,514 and 11,497 is: 17,591.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514 : 11,497 = 11,497 : x
  2. Step 2: Convert to fraction form
    7,514/11,497 = 11,497/x
  3. Step 3: Cross multiply
    7,514x = 11,497 × 11,497
  4. Step 4: Simplify right side
    7,514x = 132,181,009
  5. Step 5: Solve for x
    x = 132,181,009/7,514
  6. Step 6: Final answer
    x = 17,591.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.