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Finding the Third Proportional to 2,772.84 and 4,188.09

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Solution

The third proportional to 2,772.84 and 4,188.09 is: 6,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.84 : 4,188.09 = 4,188.09 : x
  2. Step 2: Convert to fraction form
    2,772.84/4,188.09 = 4,188.09/x
  3. Step 3: Cross multiply
    2,772.84x = 4,188.09 × 4,188.09
  4. Step 4: Simplify right side
    2,772.84x = 17,540,129.26
  5. Step 5: Solve for x
    x = 17,540,129.26/2,772.84
  6. Step 6: Final answer
    x = 6,325.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.