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Finding the Third Proportional to 33,724.13 and 52,396.88

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Solution

The third proportional to 33,724.13 and 52,396.88 is: 81,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,724.13 : 52,396.88 = 52,396.88 : x
  2. Step 2: Convert to fraction form
    33,724.13/52,396.88 = 52,396.88/x
  3. Step 3: Cross multiply
    33,724.13x = 52,396.88 × 52,396.88
  4. Step 4: Simplify right side
    33,724.13x = 2,745,432,509.77
  5. Step 5: Solve for x
    x = 2,745,432,509.77/33,724.13
  6. Step 6: Final answer
    x = 81,408.56

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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.