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Finding the Third Proportional to 33,139.13 and 48,144.38

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Solution

The third proportional to 33,139.13 and 48,144.38 is: 69,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,139.13 : 48,144.38 = 48,144.38 : x
  2. Step 2: Convert to fraction form
    33,139.13/48,144.38 = 48,144.38/x
  3. Step 3: Cross multiply
    33,139.13x = 48,144.38 × 48,144.38
  4. Step 4: Simplify right side
    33,139.13x = 2,317,880,844.14
  5. Step 5: Solve for x
    x = 2,317,880,844.14/33,139.13
  6. Step 6: Final answer
    x = 69,943.94

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.