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Finding the Third Proportional to 3,409 and 7,025

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Solution

The third proportional to 3,409 and 7,025 is: 14,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409 : 7,025 = 7,025 : x
  2. Step 2: Convert to fraction form
    3,409/7,025 = 7,025/x
  3. Step 3: Cross multiply
    3,409x = 7,025 × 7,025
  4. Step 4: Simplify right side
    3,409x = 49,350,625
  5. Step 5: Solve for x
    x = 49,350,625/3,409
  6. Step 6: Final answer
    x = 14,476.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.