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Finding the Third Proportional to 3,646 and 5,478

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Solution

The third proportional to 3,646 and 5,478 is: 8,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646 : 5,478 = 5,478 : x
  2. Step 2: Convert to fraction form
    3,646/5,478 = 5,478/x
  3. Step 3: Cross multiply
    3,646x = 5,478 × 5,478
  4. Step 4: Simplify right side
    3,646x = 30,008,484
  5. Step 5: Solve for x
    x = 30,008,484/3,646
  6. Step 6: Final answer
    x = 8,230.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.