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Finding the Third Proportional to 34,848 and 53,568

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Solution

The third proportional to 34,848 and 53,568 is: 82,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,848 : 53,568 = 53,568 : x
  2. Step 2: Convert to fraction form
    34,848/53,568 = 53,568/x
  3. Step 3: Cross multiply
    34,848x = 53,568 × 53,568
  4. Step 4: Simplify right side
    34,848x = 2,869,530,624
  5. Step 5: Solve for x
    x = 2,869,530,624/34,848
  6. Step 6: Final answer
    x = 82,344.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.