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Finding the Third Proportional to 3,646 and 6,025

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Solution

The third proportional to 3,646 and 6,025 is: 9,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646 : 6,025 = 6,025 : x
  2. Step 2: Convert to fraction form
    3,646/6,025 = 6,025/x
  3. Step 3: Cross multiply
    3,646x = 6,025 × 6,025
  4. Step 4: Simplify right side
    3,646x = 36,300,625
  5. Step 5: Solve for x
    x = 36,300,625/3,646
  6. Step 6: Final answer
    x = 9,956.29

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.