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Finding the Third Proportional to 33,529.50 and 52,130.25

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Solution

The third proportional to 33,529.50 and 52,130.25 is: 81,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,529.50 : 52,130.25 = 52,130.25 : x
  2. Step 2: Convert to fraction form
    33,529.50/52,130.25 = 52,130.25/x
  3. Step 3: Cross multiply
    33,529.50x = 52,130.25 × 52,130.25
  4. Step 4: Simplify right side
    33,529.50x = 2,717,562,965.06
  5. Step 5: Solve for x
    x = 2,717,562,965.06/33,529.50
  6. Step 6: Final answer
    x = 81,049.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.