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Finding the Third Proportional to 17,313.75 and 25,967.25

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Solution

The third proportional to 17,313.75 and 25,967.25 is: 38,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,313.75 : 25,967.25 = 25,967.25 : x
  2. Step 2: Convert to fraction form
    17,313.75/25,967.25 = 25,967.25/x
  3. Step 3: Cross multiply
    17,313.75x = 25,967.25 × 25,967.25
  4. Step 4: Simplify right side
    17,313.75x = 674,298,072.56
  5. Step 5: Solve for x
    x = 674,298,072.56/17,313.75
  6. Step 6: Final answer
    x = 38,945.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.