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Finding the Third Proportional to 17,019 and 24,958

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Solution

The third proportional to 17,019 and 24,958 is: 36,600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,019 : 24,958 = 24,958 : x
  2. Step 2: Convert to fraction form
    17,019/24,958 = 24,958/x
  3. Step 3: Cross multiply
    17,019x = 24,958 × 24,958
  4. Step 4: Simplify right side
    17,019x = 622,901,764
  5. Step 5: Solve for x
    x = 622,901,764/17,019
  6. Step 6: Final answer
    x = 36,600.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.