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Finding the Third Proportional to 1,816.80 and 2,778.89

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Solution

The third proportional to 1,816.80 and 2,778.89 is: 4,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.80 : 2,778.89 = 2,778.89 : x
  2. Step 2: Convert to fraction form
    1,816.80/2,778.89 = 2,778.89/x
  3. Step 3: Cross multiply
    1,816.80x = 2,778.89 × 2,778.89
  4. Step 4: Simplify right side
    1,816.80x = 7,722,233.11
  5. Step 5: Solve for x
    x = 7,722,233.11/1,816.80
  6. Step 6: Final answer
    x = 4,250.45

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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.