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Finding the Third Proportional to 2,776.22 and 3,604.78

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Solution

The third proportional to 2,776.22 and 3,604.78 is: 4,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.22 : 3,604.78 = 3,604.78 : x
  2. Step 2: Convert to fraction form
    2,776.22/3,604.78 = 3,604.78/x
  3. Step 3: Cross multiply
    2,776.22x = 3,604.78 × 3,604.78
  4. Step 4: Simplify right side
    2,776.22x = 12,994,447.86
  5. Step 5: Solve for x
    x = 12,994,447.86/2,776.22
  6. Step 6: Final answer
    x = 4,680.63

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.