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Finding the Third Proportional to 1,614 and 3,714

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Solution

The third proportional to 1,614 and 3,714 is: 8,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614 : 3,714 = 3,714 : x
  2. Step 2: Convert to fraction form
    1,614/3,714 = 3,714/x
  3. Step 3: Cross multiply
    1,614x = 3,714 × 3,714
  4. Step 4: Simplify right side
    1,614x = 13,793,796
  5. Step 5: Solve for x
    x = 13,793,796/1,614
  6. Step 6: Final answer
    x = 8,546.34

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.