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Finding the Third Proportional to 7,514 and 17,009

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Solution

The third proportional to 7,514 and 17,009 is: 38,502.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514 : 17,009 = 17,009 : x
  2. Step 2: Convert to fraction form
    7,514/17,009 = 17,009/x
  3. Step 3: Cross multiply
    7,514x = 17,009 × 17,009
  4. Step 4: Simplify right side
    7,514x = 289,306,081
  5. Step 5: Solve for x
    x = 289,306,081/7,514
  6. Step 6: Final answer
    x = 38,502.27

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.