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Finding the Third Proportional to 24,983 and 54,874

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Solution

The third proportional to 24,983 and 54,874 is: 120,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,983 : 54,874 = 54,874 : x
  2. Step 2: Convert to fraction form
    24,983/54,874 = 54,874/x
  3. Step 3: Cross multiply
    24,983x = 54,874 × 54,874
  4. Step 4: Simplify right side
    24,983x = 3,011,155,876
  5. Step 5: Solve for x
    x = 3,011,155,876/24,983
  6. Step 6: Final answer
    x = 120,528.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.