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Finding the Third Proportional to 1,230.94 and 1,842.13

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Solution

The third proportional to 1,230.94 and 1,842.13 is: 2,756.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.94 : 1,842.13 = 1,842.13 : x
  2. Step 2: Convert to fraction form
    1,230.94/1,842.13 = 1,842.13/x
  3. Step 3: Cross multiply
    1,230.94x = 1,842.13 × 1,842.13
  4. Step 4: Simplify right side
    1,230.94x = 3,393,424.52
  5. Step 5: Solve for x
    x = 3,393,424.52/1,230.94
  6. Step 6: Final answer
    x = 2,756.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.