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Finding the Third Proportional to 48,651 and 73,958

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Solution

The third proportional to 48,651 and 73,958 is: 112,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,651 : 73,958 = 73,958 : x
  2. Step 2: Convert to fraction form
    48,651/73,958 = 73,958/x
  3. Step 3: Cross multiply
    48,651x = 73,958 × 73,958
  4. Step 4: Simplify right side
    48,651x = 5,469,785,764
  5. Step 5: Solve for x
    x = 5,469,785,764/48,651
  6. Step 6: Final answer
    x = 112,429.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.