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Finding the Third Proportional to 3,314 and 6,421

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Solution

The third proportional to 3,314 and 6,421 is: 12,440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314 : 6,421 = 6,421 : x
  2. Step 2: Convert to fraction form
    3,314/6,421 = 6,421/x
  3. Step 3: Cross multiply
    3,314x = 6,421 × 6,421
  4. Step 4: Simplify right side
    3,314x = 41,229,241
  5. Step 5: Solve for x
    x = 41,229,241/3,314
  6. Step 6: Final answer
    x = 12,440.93

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.