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Finding the Third Proportional to 862.59 and 1,846.41

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Solution

The third proportional to 862.59 and 1,846.41 is: 3,952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.59 : 1,846.41 = 1,846.41 : x
  2. Step 2: Convert to fraction form
    862.59/1,846.41 = 1,846.41/x
  3. Step 3: Cross multiply
    862.59x = 1,846.41 × 1,846.41
  4. Step 4: Simplify right side
    862.59x = 3,409,216.04
  5. Step 5: Solve for x
    x = 3,409,216.04/862.59
  6. Step 6: Final answer
    x = 3,952.28

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Why These Related Problems?

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