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Finding the Third Proportional to 3,038 and 6,350

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Solution

The third proportional to 3,038 and 6,350 is: 13,272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038 : 6,350 = 6,350 : x
  2. Step 2: Convert to fraction form
    3,038/6,350 = 6,350/x
  3. Step 3: Cross multiply
    3,038x = 6,350 × 6,350
  4. Step 4: Simplify right side
    3,038x = 40,322,500
  5. Step 5: Solve for x
    x = 40,322,500/3,038
  6. Step 6: Final answer
    x = 13,272.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.