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Finding the Third Proportional to 33,868.13 and 48,387.38

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Solution

The third proportional to 33,868.13 and 48,387.38 is: 69,131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,868.13 : 48,387.38 = 48,387.38 : x
  2. Step 2: Convert to fraction form
    33,868.13/48,387.38 = 48,387.38/x
  3. Step 3: Cross multiply
    33,868.13x = 48,387.38 × 48,387.38
  4. Step 4: Simplify right side
    33,868.13x = 2,341,338,059.39
  5. Step 5: Solve for x
    x = 2,341,338,059.39/33,868.13
  6. Step 6: Final answer
    x = 69,131.02

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.