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Finding the Third Proportional to 48,828 and 73,074

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Solution

The third proportional to 48,828 and 73,074 is: 109,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,828 : 73,074 = 73,074 : x
  2. Step 2: Convert to fraction form
    48,828/73,074 = 73,074/x
  3. Step 3: Cross multiply
    48,828x = 73,074 × 73,074
  4. Step 4: Simplify right side
    48,828x = 5,339,809,476
  5. Step 5: Solve for x
    x = 5,339,809,476/48,828
  6. Step 6: Final answer
    x = 109,359.58

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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.