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Finding the Third Proportional to 3,846.23 and 5,448.52

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Solution

The third proportional to 3,846.23 and 5,448.52 is: 7,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.23 : 5,448.52 = 5,448.52 : x
  2. Step 2: Convert to fraction form
    3,846.23/5,448.52 = 5,448.52/x
  3. Step 3: Cross multiply
    3,846.23x = 5,448.52 × 5,448.52
  4. Step 4: Simplify right side
    3,846.23x = 29,686,322.52
  5. Step 5: Solve for x
    x = 29,686,322.52/3,846.23
  6. Step 6: Final answer
    x = 7,718.28

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.