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Finding the Third Proportional to 3,074 and 7,073

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Solution

The third proportional to 3,074 and 7,073 is: 16,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074 : 7,073 = 7,073 : x
  2. Step 2: Convert to fraction form
    3,074/7,073 = 7,073/x
  3. Step 3: Cross multiply
    3,074x = 7,073 × 7,073
  4. Step 4: Simplify right side
    3,074x = 50,027,329
  5. Step 5: Solve for x
    x = 50,027,329/3,074
  6. Step 6: Final answer
    x = 16,274.34

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.