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Finding the Third Proportional to 3,421 and 6,973

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Solution

The third proportional to 3,421 and 6,973 is: 14,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421 : 6,973 = 6,973 : x
  2. Step 2: Convert to fraction form
    3,421/6,973 = 6,973/x
  3. Step 3: Cross multiply
    3,421x = 6,973 × 6,973
  4. Step 4: Simplify right side
    3,421x = 48,622,729
  5. Step 5: Solve for x
    x = 48,622,729/3,421
  6. Step 6: Final answer
    x = 14,213.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.