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Finding the Third Proportional to 24,983 and 54,568

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Solution

The third proportional to 24,983 and 54,568 is: 119,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,983 : 54,568 = 54,568 : x
  2. Step 2: Convert to fraction form
    24,983/54,568 = 54,568/x
  3. Step 3: Cross multiply
    24,983x = 54,568 × 54,568
  4. Step 4: Simplify right side
    24,983x = 2,977,666,624
  5. Step 5: Solve for x
    x = 2,977,666,624/24,983
  6. Step 6: Final answer
    x = 119,187.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.