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Finding the Third Proportional to 48,900 and 73,458

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Solution

The third proportional to 48,900 and 73,458 is: 110,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,900 : 73,458 = 73,458 : x
  2. Step 2: Convert to fraction form
    48,900/73,458 = 73,458/x
  3. Step 3: Cross multiply
    48,900x = 73,458 × 73,458
  4. Step 4: Simplify right side
    48,900x = 5,396,077,764
  5. Step 5: Solve for x
    x = 5,396,077,764/48,900
  6. Step 6: Final answer
    x = 110,349.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.