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Finding the Third Proportional to 3,402.84 and 6,456.38

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Solution

The third proportional to 3,402.84 and 6,456.38 is: 12,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.84 : 6,456.38 = 6,456.38 : x
  2. Step 2: Convert to fraction form
    3,402.84/6,456.38 = 6,456.38/x
  3. Step 3: Cross multiply
    3,402.84x = 6,456.38 × 6,456.38
  4. Step 4: Simplify right side
    3,402.84x = 41,684,778.14
  5. Step 5: Solve for x
    x = 41,684,778.14/3,402.84
  6. Step 6: Final answer
    x = 12,249.98

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.