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Finding the Third Proportional to 1,806.19 and 2,772.42

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Solution

The third proportional to 1,806.19 and 2,772.42 is: 4,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.19 : 2,772.42 = 2,772.42 : x
  2. Step 2: Convert to fraction form
    1,806.19/2,772.42 = 2,772.42/x
  3. Step 3: Cross multiply
    1,806.19x = 2,772.42 × 2,772.42
  4. Step 4: Simplify right side
    1,806.19x = 7,686,323.05
  5. Step 5: Solve for x
    x = 7,686,323.05/1,806.19
  6. Step 6: Final answer
    x = 4,255.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.