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Finding the Third Proportional to 1,723.22 and 3,775.78

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Solution

The third proportional to 1,723.22 and 3,775.78 is: 8,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.22 : 3,775.78 = 3,775.78 : x
  2. Step 2: Convert to fraction form
    1,723.22/3,775.78 = 3,775.78/x
  3. Step 3: Cross multiply
    1,723.22x = 3,775.78 × 3,775.78
  4. Step 4: Simplify right side
    1,723.22x = 14,256,524.05
  5. Step 5: Solve for x
    x = 14,256,524.05/1,723.22
  6. Step 6: Final answer
    x = 8,273.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.