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Finding the Third Proportional to 1,235.67 and 1,963.41

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Solution

The third proportional to 1,235.67 and 1,963.41 is: 3,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.67 : 1,963.41 = 1,963.41 : x
  2. Step 2: Convert to fraction form
    1,235.67/1,963.41 = 1,963.41/x
  3. Step 3: Cross multiply
    1,235.67x = 1,963.41 × 1,963.41
  4. Step 4: Simplify right side
    1,235.67x = 3,854,964.10
  5. Step 5: Solve for x
    x = 3,854,964.10/1,235.67
  6. Step 6: Final answer
    x = 3,119.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.