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Finding the Third Proportional to 33,412.50 and 59,393.25

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Solution

The third proportional to 33,412.50 and 59,393.25 is: 105,576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,412.50 : 59,393.25 = 59,393.25 : x
  2. Step 2: Convert to fraction form
    33,412.50/59,393.25 = 59,393.25/x
  3. Step 3: Cross multiply
    33,412.50x = 59,393.25 × 59,393.25
  4. Step 4: Simplify right side
    33,412.50x = 3,527,558,145.56
  5. Step 5: Solve for x
    x = 3,527,558,145.56/33,412.50
  6. Step 6: Final answer
    x = 105,576.00

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.