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Finding the Third Proportional to 6,361.73 and 9,352.55

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Solution

The third proportional to 6,361.73 and 9,352.55 is: 13,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.73 : 9,352.55 = 9,352.55 : x
  2. Step 2: Convert to fraction form
    6,361.73/9,352.55 = 9,352.55/x
  3. Step 3: Cross multiply
    6,361.73x = 9,352.55 × 9,352.55
  4. Step 4: Simplify right side
    6,361.73x = 87,470,133.05
  5. Step 5: Solve for x
    x = 87,470,133.05/6,361.73
  6. Step 6: Final answer
    x = 13,749.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.