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Finding the Third Proportional to 33,580.50 and 47,073

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Solution

The third proportional to 33,580.50 and 47,073 is: 65,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,580.50 : 47,073 = 47,073 : x
  2. Step 2: Convert to fraction form
    33,580.50/47,073 = 47,073/x
  3. Step 3: Cross multiply
    33,580.50x = 47,073 × 47,073
  4. Step 4: Simplify right side
    33,580.50x = 2,215,867,329
  5. Step 5: Solve for x
    x = 2,215,867,329/33,580.50
  6. Step 6: Final answer
    x = 65,986.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.