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Finding the Third Proportional to 3,114 and 5,025

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Solution

The third proportional to 3,114 and 5,025 is: 8,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114 : 5,025 = 5,025 : x
  2. Step 2: Convert to fraction form
    3,114/5,025 = 5,025/x
  3. Step 3: Cross multiply
    3,114x = 5,025 × 5,025
  4. Step 4: Simplify right side
    3,114x = 25,250,625
  5. Step 5: Solve for x
    x = 25,250,625/3,114
  6. Step 6: Final answer
    x = 8,108.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.