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Finding the Third Proportional to 34,648 and 50,568

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Solution

The third proportional to 34,648 and 50,568 is: 73,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,648 : 50,568 = 50,568 : x
  2. Step 2: Convert to fraction form
    34,648/50,568 = 50,568/x
  3. Step 3: Cross multiply
    34,648x = 50,568 × 50,568
  4. Step 4: Simplify right side
    34,648x = 2,557,122,624
  5. Step 5: Solve for x
    x = 2,557,122,624/34,648
  6. Step 6: Final answer
    x = 73,802.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.