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Finding the Third Proportional to 10,945.50 and 17,334.56

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Solution

The third proportional to 10,945.50 and 17,334.56 is: 27,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.50 : 17,334.56 = 17,334.56 : x
  2. Step 2: Convert to fraction form
    10,945.50/17,334.56 = 17,334.56/x
  3. Step 3: Cross multiply
    10,945.50x = 17,334.56 × 17,334.56
  4. Step 4: Simplify right side
    10,945.50x = 300,487,057.07
  5. Step 5: Solve for x
    x = 300,487,057.07/10,945.50
  6. Step 6: Final answer
    x = 27,453.02

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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.