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Finding the Third Proportional to 9,672.75 and 14,463.56

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Solution

The third proportional to 9,672.75 and 14,463.56 is: 21,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.75 : 14,463.56 = 14,463.56 : x
  2. Step 2: Convert to fraction form
    9,672.75/14,463.56 = 14,463.56/x
  3. Step 3: Cross multiply
    9,672.75x = 14,463.56 × 14,463.56
  4. Step 4: Simplify right side
    9,672.75x = 209,194,640.19
  5. Step 5: Solve for x
    x = 209,194,640.19/9,672.75
  6. Step 6: Final answer
    x = 21,627.21

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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.