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Finding the Third Proportional to 7,853 and 17,182

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Solution

The third proportional to 7,853 and 17,182 is: 37,593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853 : 17,182 = 17,182 : x
  2. Step 2: Convert to fraction form
    7,853/17,182 = 17,182/x
  3. Step 3: Cross multiply
    7,853x = 17,182 × 17,182
  4. Step 4: Simplify right side
    7,853x = 295,221,124
  5. Step 5: Solve for x
    x = 295,221,124/7,853
  6. Step 6: Final answer
    x = 37,593.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.