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Finding the Third Proportional to 36,997.50 and 52,353

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Solution

The third proportional to 36,997.50 and 52,353 is: 74,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,997.50 : 52,353 = 52,353 : x
  2. Step 2: Convert to fraction form
    36,997.50/52,353 = 52,353/x
  3. Step 3: Cross multiply
    36,997.50x = 52,353 × 52,353
  4. Step 4: Simplify right side
    36,997.50x = 2,740,836,609
  5. Step 5: Solve for x
    x = 2,740,836,609/36,997.50
  6. Step 6: Final answer
    x = 74,081.67

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.