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Finding the Third Proportional to 2,883.77 and 6,267.77

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Solution

The third proportional to 2,883.77 and 6,267.77 is: 13,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.77 : 6,267.77 = 6,267.77 : x
  2. Step 2: Convert to fraction form
    2,883.77/6,267.77 = 6,267.77/x
  3. Step 3: Cross multiply
    2,883.77x = 6,267.77 × 6,267.77
  4. Step 4: Simplify right side
    2,883.77x = 39,284,885.93
  5. Step 5: Solve for x
    x = 39,284,885.93/2,883.77
  6. Step 6: Final answer
    x = 13,622.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.