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Finding the Third Proportional to 13,372.50 and 20,799

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Solution

The third proportional to 13,372.50 and 20,799 is: 32,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,372.50 : 20,799 = 20,799 : x
  2. Step 2: Convert to fraction form
    13,372.50/20,799 = 20,799/x
  3. Step 3: Cross multiply
    13,372.50x = 20,799 × 20,799
  4. Step 4: Simplify right side
    13,372.50x = 432,598,401
  5. Step 5: Solve for x
    x = 432,598,401/13,372.50
  6. Step 6: Final answer
    x = 32,349.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.