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Finding the Third Proportional to 36,723.38 and 48,979.69

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Solution

The third proportional to 36,723.38 and 48,979.69 is: 65,326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,723.38 : 48,979.69 = 48,979.69 : x
  2. Step 2: Convert to fraction form
    36,723.38/48,979.69 = 48,979.69/x
  3. Step 3: Cross multiply
    36,723.38x = 48,979.69 × 48,979.69
  4. Step 4: Simplify right side
    36,723.38x = 2,399,009,787.60
  5. Step 5: Solve for x
    x = 2,399,009,787.60/36,723.38
  6. Step 6: Final answer
    x = 65,326.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.