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Finding the Third Proportional to 2,776.78 and 6,002.86

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Solution

The third proportional to 2,776.78 and 6,002.86 is: 12,977.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.78 : 6,002.86 = 6,002.86 : x
  2. Step 2: Convert to fraction form
    2,776.78/6,002.86 = 6,002.86/x
  3. Step 3: Cross multiply
    2,776.78x = 6,002.86 × 6,002.86
  4. Step 4: Simplify right side
    2,776.78x = 36,034,320.68
  5. Step 5: Solve for x
    x = 36,034,320.68/2,776.78
  6. Step 6: Final answer
    x = 12,977.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.