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Finding the Third Proportional to 17,471.25 and 24,698.25

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Solution

The third proportional to 17,471.25 and 24,698.25 is: 34,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.25 : 24,698.25 = 24,698.25 : x
  2. Step 2: Convert to fraction form
    17,471.25/24,698.25 = 24,698.25/x
  3. Step 3: Cross multiply
    17,471.25x = 24,698.25 × 24,698.25
  4. Step 4: Simplify right side
    17,471.25x = 610,003,553.06
  5. Step 5: Solve for x
    x = 610,003,553.06/17,471.25
  6. Step 6: Final answer
    x = 34,914.71

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.