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Finding the Third Proportional to 33,529.50 and 47,670.75

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Solution

The third proportional to 33,529.50 and 47,670.75 is: 67,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,529.50 : 47,670.75 = 47,670.75 : x
  2. Step 2: Convert to fraction form
    33,529.50/47,670.75 = 47,670.75/x
  3. Step 3: Cross multiply
    33,529.50x = 47,670.75 × 47,670.75
  4. Step 4: Simplify right side
    33,529.50x = 2,272,500,405.56
  5. Step 5: Solve for x
    x = 2,272,500,405.56/33,529.50
  6. Step 6: Final answer
    x = 67,776.15

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