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Finding the Third Proportional to 14,086 and 19,693

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Solution

The third proportional to 14,086 and 19,693 is: 27,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,086 : 19,693 = 19,693 : x
  2. Step 2: Convert to fraction form
    14,086/19,693 = 19,693/x
  3. Step 3: Cross multiply
    14,086x = 19,693 × 19,693
  4. Step 4: Simplify right side
    14,086x = 387,814,249
  5. Step 5: Solve for x
    x = 387,814,249/14,086
  6. Step 6: Final answer
    x = 27,531.89

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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.