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Finding the Third Proportional to 1,846.55 and 3,942.42

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Solution

The third proportional to 1,846.55 and 3,942.42 is: 8,417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.55 : 3,942.42 = 3,942.42 : x
  2. Step 2: Convert to fraction form
    1,846.55/3,942.42 = 3,942.42/x
  3. Step 3: Cross multiply
    1,846.55x = 3,942.42 × 3,942.42
  4. Step 4: Simplify right side
    1,846.55x = 15,542,690.24
  5. Step 5: Solve for x
    x = 15,542,690.24/1,846.55
  6. Step 6: Final answer
    x = 8,417.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.