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Finding the Third Proportional to 14,016 and 19,614

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Solution

The third proportional to 14,016 and 19,614 is: 27,447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016 : 19,614 = 19,614 : x
  2. Step 2: Convert to fraction form
    14,016/19,614 = 19,614/x
  3. Step 3: Cross multiply
    14,016x = 19,614 × 19,614
  4. Step 4: Simplify right side
    14,016x = 384,708,996
  5. Step 5: Solve for x
    x = 384,708,996/14,016
  6. Step 6: Final answer
    x = 27,447.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.