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Finding the Third Proportional to 33,523.88 and 48,891.94

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Solution

The third proportional to 33,523.88 and 48,891.94 is: 71,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,523.88 : 48,891.94 = 48,891.94 : x
  2. Step 2: Convert to fraction form
    33,523.88/48,891.94 = 48,891.94/x
  3. Step 3: Cross multiply
    33,523.88x = 48,891.94 × 48,891.94
  4. Step 4: Simplify right side
    33,523.88x = 2,390,421,552.50
  5. Step 5: Solve for x
    x = 2,390,421,552.50/33,523.88
  6. Step 6: Final answer
    x = 71,305.05

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.