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Finding the Third Proportional to 4,453.73 and 9,562.43

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Solution

The third proportional to 4,453.73 and 9,562.43 is: 20,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,453.73 : 9,562.43 = 9,562.43 : x
  2. Step 2: Convert to fraction form
    4,453.73/9,562.43 = 9,562.43/x
  3. Step 3: Cross multiply
    4,453.73x = 9,562.43 × 9,562.43
  4. Step 4: Simplify right side
    4,453.73x = 91,440,061.53
  5. Step 5: Solve for x
    x = 91,440,061.53/4,453.73
  6. Step 6: Final answer
    x = 20,531.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.