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Finding the Third Proportional to 17,174.50 and 35,267

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Solution

The third proportional to 17,174.50 and 35,267 is: 72,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,174.50 : 35,267 = 35,267 : x
  2. Step 2: Convert to fraction form
    17,174.50/35,267 = 35,267/x
  3. Step 3: Cross multiply
    17,174.50x = 35,267 × 35,267
  4. Step 4: Simplify right side
    17,174.50x = 1,243,761,289
  5. Step 5: Solve for x
    x = 1,243,761,289/17,174.50
  6. Step 6: Final answer
    x = 72,419.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.