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Finding the Third Proportional to 1,182.73 and 2,238.26

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Solution

The third proportional to 1,182.73 and 2,238.26 is: 4,235.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.73 : 2,238.26 = 2,238.26 : x
  2. Step 2: Convert to fraction form
    1,182.73/2,238.26 = 2,238.26/x
  3. Step 3: Cross multiply
    1,182.73x = 2,238.26 × 2,238.26
  4. Step 4: Simplify right side
    1,182.73x = 5,009,798.04
  5. Step 5: Solve for x
    x = 5,009,798.04/1,182.73
  6. Step 6: Final answer
    x = 4,235.80

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.