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Finding the Third Proportional to 33,427.69 and 48,751.88

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Solution

The third proportional to 33,427.69 and 48,751.88 is: 71,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,427.69 : 48,751.88 = 48,751.88 : x
  2. Step 2: Convert to fraction form
    33,427.69/48,751.88 = 48,751.88/x
  3. Step 3: Cross multiply
    33,427.69x = 48,751.88 × 48,751.88
  4. Step 4: Simplify right side
    33,427.69x = 2,376,745,316.02
  5. Step 5: Solve for x
    x = 2,376,745,316.02/33,427.69
  6. Step 6: Final answer
    x = 71,101.10

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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.