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Finding the Third Proportional to 1,772.81 and 3,769.78

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Solution

The third proportional to 1,772.81 and 3,769.78 is: 8,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.81 : 3,769.78 = 3,769.78 : x
  2. Step 2: Convert to fraction form
    1,772.81/3,769.78 = 3,769.78/x
  3. Step 3: Cross multiply
    1,772.81x = 3,769.78 × 3,769.78
  4. Step 4: Simplify right side
    1,772.81x = 14,211,250.67
  5. Step 5: Solve for x
    x = 14,211,250.67/1,772.81
  6. Step 6: Final answer
    x = 8,016.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.