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Finding the Third Proportional to 17,613 and 25,771.25

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Solution

The third proportional to 17,613 and 25,771.25 is: 37,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,613 : 25,771.25 = 25,771.25 : x
  2. Step 2: Convert to fraction form
    17,613/25,771.25 = 25,771.25/x
  3. Step 3: Cross multiply
    17,613x = 25,771.25 × 25,771.25
  4. Step 4: Simplify right side
    17,613x = 664,157,326.56
  5. Step 5: Solve for x
    x = 664,157,326.56/17,613
  6. Step 6: Final answer
    x = 37,708.36

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.