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Finding the Third Proportional to 14,228 and 19,929

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Solution

The third proportional to 14,228 and 19,929 is: 27,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228 : 19,929 = 19,929 : x
  2. Step 2: Convert to fraction form
    14,228/19,929 = 19,929/x
  3. Step 3: Cross multiply
    14,228x = 19,929 × 19,929
  4. Step 4: Simplify right side
    14,228x = 397,165,041
  5. Step 5: Solve for x
    x = 397,165,041/14,228
  6. Step 6: Final answer
    x = 27,914.33

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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.