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Finding the Third Proportional to 844.17 and 1,846.55

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Solution

The third proportional to 844.17 and 1,846.55 is: 4,039.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.17 : 1,846.55 = 1,846.55 : x
  2. Step 2: Convert to fraction form
    844.17/1,846.55 = 1,846.55/x
  3. Step 3: Cross multiply
    844.17x = 1,846.55 × 1,846.55
  4. Step 4: Simplify right side
    844.17x = 3,409,735.36
  5. Step 5: Solve for x
    x = 3,409,735.36/844.17
  6. Step 6: Final answer
    x = 4,039.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.