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Finding the Third Proportional to 2,794.08 and 5,817.66

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Solution

The third proportional to 2,794.08 and 5,817.66 is: 12,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.08 : 5,817.66 = 5,817.66 : x
  2. Step 2: Convert to fraction form
    2,794.08/5,817.66 = 5,817.66/x
  3. Step 3: Cross multiply
    2,794.08x = 5,817.66 × 5,817.66
  4. Step 4: Simplify right side
    2,794.08x = 33,845,124.24
  5. Step 5: Solve for x
    x = 33,845,124.24/2,794.08
  6. Step 6: Final answer
    x = 12,113.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.