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Finding the Third Proportional to 727.22 and 1,571.16

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Solution

The third proportional to 727.22 and 1,571.16 is: 3,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.22 : 1,571.16 = 1,571.16 : x
  2. Step 2: Convert to fraction form
    727.22/1,571.16 = 1,571.16/x
  3. Step 3: Cross multiply
    727.22x = 1,571.16 × 1,571.16
  4. Step 4: Simplify right side
    727.22x = 2,468,531.96
  5. Step 5: Solve for x
    x = 2,468,531.96/727.22
  6. Step 6: Final answer
    x = 3,394.48

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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.