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Finding the Third Proportional to 5,791.64 and 12,622.78

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Solution

The third proportional to 5,791.64 and 12,622.78 is: 27,511.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.64 : 12,622.78 = 12,622.78 : x
  2. Step 2: Convert to fraction form
    5,791.64/12,622.78 = 12,622.78/x
  3. Step 3: Cross multiply
    5,791.64x = 12,622.78 × 12,622.78
  4. Step 4: Simplify right side
    5,791.64x = 159,334,606.49
  5. Step 5: Solve for x
    x = 159,334,606.49/5,791.64
  6. Step 6: Final answer
    x = 27,511.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.