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Finding the Third Proportional to 3,658 and 5,350

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Solution

The third proportional to 3,658 and 5,350 is: 7,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658 : 5,350 = 5,350 : x
  2. Step 2: Convert to fraction form
    3,658/5,350 = 5,350/x
  3. Step 3: Cross multiply
    3,658x = 5,350 × 5,350
  4. Step 4: Simplify right side
    3,658x = 28,622,500
  5. Step 5: Solve for x
    x = 28,622,500/3,658
  6. Step 6: Final answer
    x = 7,824.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.