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Finding the Third Proportional to 1,228.92 and 1,849.08

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Solution

The third proportional to 1,228.92 and 1,849.08 is: 2,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.92 : 1,849.08 = 1,849.08 : x
  2. Step 2: Convert to fraction form
    1,228.92/1,849.08 = 1,849.08/x
  3. Step 3: Cross multiply
    1,228.92x = 1,849.08 × 1,849.08
  4. Step 4: Simplify right side
    1,228.92x = 3,419,089.91
  5. Step 5: Solve for x
    x = 3,419,089.91/1,228.92
  6. Step 6: Final answer
    x = 2,782.19

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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.