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Finding the Third Proportional to 5,727.75 and 12,604.13

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Solution

The third proportional to 5,727.75 and 12,604.13 is: 27,735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.75 : 12,604.13 = 12,604.13 : x
  2. Step 2: Convert to fraction form
    5,727.75/12,604.13 = 12,604.13/x
  3. Step 3: Cross multiply
    5,727.75x = 12,604.13 × 12,604.13
  4. Step 4: Simplify right side
    5,727.75x = 158,863,967.02
  5. Step 5: Solve for x
    x = 158,863,967.02/5,727.75
  6. Step 6: Final answer
    x = 27,735.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.