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Finding the Third Proportional to 3,428.25 and 8,084.63

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Solution

The third proportional to 3,428.25 and 8,084.63 is: 19,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.25 : 8,084.63 = 8,084.63 : x
  2. Step 2: Convert to fraction form
    3,428.25/8,084.63 = 8,084.63/x
  3. Step 3: Cross multiply
    3,428.25x = 8,084.63 × 8,084.63
  4. Step 4: Simplify right side
    3,428.25x = 65,361,161.39
  5. Step 5: Solve for x
    x = 65,361,161.39/3,428.25
  6. Step 6: Final answer
    x = 19,065.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.