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Finding the Third Proportional to 862.31 and 1,919.95

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Solution

The third proportional to 862.31 and 1,919.95 is: 4,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.31 : 1,919.95 = 1,919.95 : x
  2. Step 2: Convert to fraction form
    862.31/1,919.95 = 1,919.95/x
  3. Step 3: Cross multiply
    862.31x = 1,919.95 × 1,919.95
  4. Step 4: Simplify right side
    862.31x = 3,686,220.00
  5. Step 5: Solve for x
    x = 3,686,220.00/862.31
  6. Step 6: Final answer
    x = 4,274.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.