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Finding the Third Proportional to 48,979.69 and 75,383.16

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Solution

The third proportional to 48,979.69 and 75,383.16 is: 116,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,979.69 : 75,383.16 = 75,383.16 : x
  2. Step 2: Convert to fraction form
    48,979.69/75,383.16 = 75,383.16/x
  3. Step 3: Cross multiply
    48,979.69x = 75,383.16 × 75,383.16
  4. Step 4: Simplify right side
    48,979.69x = 5,682,620,246.21
  5. Step 5: Solve for x
    x = 5,682,620,246.21/48,979.69
  6. Step 6: Final answer
    x = 116,019.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.