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Finding the Third Proportional to 7,823.50 and 17,375

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Solution

The third proportional to 7,823.50 and 17,375 is: 38,587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.50 : 17,375 = 17,375 : x
  2. Step 2: Convert to fraction form
    7,823.50/17,375 = 17,375/x
  3. Step 3: Cross multiply
    7,823.50x = 17,375 × 17,375
  4. Step 4: Simplify right side
    7,823.50x = 301,890,625
  5. Step 5: Solve for x
    x = 301,890,625/7,823.50
  6. Step 6: Final answer
    x = 38,587.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.