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Finding the Third Proportional to 1,238.25 and 1,933.13

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Solution

The third proportional to 1,238.25 and 1,933.13 is: 3,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.25 : 1,933.13 = 1,933.13 : x
  2. Step 2: Convert to fraction form
    1,238.25/1,933.13 = 1,933.13/x
  3. Step 3: Cross multiply
    1,238.25x = 1,933.13 × 1,933.13
  4. Step 4: Simplify right side
    1,238.25x = 3,736,972.27
  5. Step 5: Solve for x
    x = 3,736,972.27/1,238.25
  6. Step 6: Final answer
    x = 3,017.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.