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Finding the Third Proportional to 7,614 and 16,443

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Solution

The third proportional to 7,614 and 16,443 is: 35,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614 : 16,443 = 16,443 : x
  2. Step 2: Convert to fraction form
    7,614/16,443 = 16,443/x
  3. Step 3: Cross multiply
    7,614x = 16,443 × 16,443
  4. Step 4: Simplify right side
    7,614x = 270,372,249
  5. Step 5: Solve for x
    x = 270,372,249/7,614
  6. Step 6: Final answer
    x = 35,509.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.