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Finding the Third Proportional to 24,939 and 54,573

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Solution

The third proportional to 24,939 and 54,573 is: 119,419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,939 : 54,573 = 54,573 : x
  2. Step 2: Convert to fraction form
    24,939/54,573 = 54,573/x
  3. Step 3: Cross multiply
    24,939x = 54,573 × 54,573
  4. Step 4: Simplify right side
    24,939x = 2,978,212,329
  5. Step 5: Solve for x
    x = 2,978,212,329/24,939
  6. Step 6: Final answer
    x = 119,419.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.