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Finding the Third Proportional to 1,212.19 and 1,816.59

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Solution

The third proportional to 1,212.19 and 1,816.59 is: 2,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.19 : 1,816.59 = 1,816.59 : x
  2. Step 2: Convert to fraction form
    1,212.19/1,816.59 = 1,816.59/x
  3. Step 3: Cross multiply
    1,212.19x = 1,816.59 × 1,816.59
  4. Step 4: Simplify right side
    1,212.19x = 3,300,012.85
  5. Step 5: Solve for x
    x = 3,300,012.85/1,212.19
  6. Step 6: Final answer
    x = 2,722.36

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