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Finding the Third Proportional to 3,998 and 6,025

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Solution

The third proportional to 3,998 and 6,025 is: 9,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998 : 6,025 = 6,025 : x
  2. Step 2: Convert to fraction form
    3,998/6,025 = 6,025/x
  3. Step 3: Cross multiply
    3,998x = 6,025 × 6,025
  4. Step 4: Simplify right side
    3,998x = 36,300,625
  5. Step 5: Solve for x
    x = 36,300,625/3,998
  6. Step 6: Final answer
    x = 9,079.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.