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Finding the Third Proportional to 3,114 and 4,038

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Solution

The third proportional to 3,114 and 4,038 is: 5,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114 : 4,038 = 4,038 : x
  2. Step 2: Convert to fraction form
    3,114/4,038 = 4,038/x
  3. Step 3: Cross multiply
    3,114x = 4,038 × 4,038
  4. Step 4: Simplify right side
    3,114x = 16,305,444
  5. Step 5: Solve for x
    x = 16,305,444/3,114
  6. Step 6: Final answer
    x = 5,236.17

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.