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Finding the Third Proportional to 2,704.13 and 5,840.25

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Solution

The third proportional to 2,704.13 and 5,840.25 is: 12,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.13 : 5,840.25 = 5,840.25 : x
  2. Step 2: Convert to fraction form
    2,704.13/5,840.25 = 5,840.25/x
  3. Step 3: Cross multiply
    2,704.13x = 5,840.25 × 5,840.25
  4. Step 4: Simplify right side
    2,704.13x = 34,108,520.06
  5. Step 5: Solve for x
    x = 34,108,520.06/2,704.13
  6. Step 6: Final answer
    x = 12,613.51

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Why These Related Problems?

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