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Finding the Third Proportional to 3,714 and 6,186

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Solution

The third proportional to 3,714 and 6,186 is: 10,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714 : 6,186 = 6,186 : x
  2. Step 2: Convert to fraction form
    3,714/6,186 = 6,186/x
  3. Step 3: Cross multiply
    3,714x = 6,186 × 6,186
  4. Step 4: Simplify right side
    3,714x = 38,266,596
  5. Step 5: Solve for x
    x = 38,266,596/3,714
  6. Step 6: Final answer
    x = 10,303.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.