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Finding the Third Proportional to 10,945.75 and 17,334.75

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Solution

The third proportional to 10,945.75 and 17,334.75 is: 27,452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.75 : 17,334.75 = 17,334.75 : x
  2. Step 2: Convert to fraction form
    10,945.75/17,334.75 = 17,334.75/x
  3. Step 3: Cross multiply
    10,945.75x = 17,334.75 × 17,334.75
  4. Step 4: Simplify right side
    10,945.75x = 300,493,557.56
  5. Step 5: Solve for x
    x = 300,493,557.56/10,945.75
  6. Step 6: Final answer
    x = 27,452.99

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.