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Finding the Third Proportional to 3,425.84 and 7,380.49

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Solution

The third proportional to 3,425.84 and 7,380.49 is: 15,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.84 : 7,380.49 = 7,380.49 : x
  2. Step 2: Convert to fraction form
    3,425.84/7,380.49 = 7,380.49/x
  3. Step 3: Cross multiply
    3,425.84x = 7,380.49 × 7,380.49
  4. Step 4: Simplify right side
    3,425.84x = 54,471,664.93
  5. Step 5: Solve for x
    x = 54,471,664.93/3,425.84
  6. Step 6: Final answer
    x = 15,900.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.