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Finding the Third Proportional to 3,074 and 5,689

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Solution

The third proportional to 3,074 and 5,689 is: 10,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074 : 5,689 = 5,689 : x
  2. Step 2: Convert to fraction form
    3,074/5,689 = 5,689/x
  3. Step 3: Cross multiply
    3,074x = 5,689 × 5,689
  4. Step 4: Simplify right side
    3,074x = 32,364,721
  5. Step 5: Solve for x
    x = 32,364,721/3,074
  6. Step 6: Final answer
    x = 10,528.54

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.