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Finding the Third Proportional to 7,982.50 and 17,475

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Solution

The third proportional to 7,982.50 and 17,475 is: 38,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.50 : 17,475 = 17,475 : x
  2. Step 2: Convert to fraction form
    7,982.50/17,475 = 17,475/x
  3. Step 3: Cross multiply
    7,982.50x = 17,475 × 17,475
  4. Step 4: Simplify right side
    7,982.50x = 305,375,625
  5. Step 5: Solve for x
    x = 305,375,625/7,982.50
  6. Step 6: Final answer
    x = 38,255.64

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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.