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Finding the Third Proportional to 9,024.50 and 14,144.75

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Solution

The third proportional to 9,024.50 and 14,144.75 is: 22,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.50 : 14,144.75 = 14,144.75 : x
  2. Step 2: Convert to fraction form
    9,024.50/14,144.75 = 14,144.75/x
  3. Step 3: Cross multiply
    9,024.50x = 14,144.75 × 14,144.75
  4. Step 4: Simplify right side
    9,024.50x = 200,073,952.56
  5. Step 5: Solve for x
    x = 200,073,952.56/9,024.50
  6. Step 6: Final answer
    x = 22,170.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.