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Finding the Third Proportional to 14,220 and 19,891

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Solution

The third proportional to 14,220 and 19,891 is: 27,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,220 : 19,891 = 19,891 : x
  2. Step 2: Convert to fraction form
    14,220/19,891 = 19,891/x
  3. Step 3: Cross multiply
    14,220x = 19,891 × 19,891
  4. Step 4: Simplify right side
    14,220x = 395,651,881
  5. Step 5: Solve for x
    x = 395,651,881/14,220
  6. Step 6: Final answer
    x = 27,823.62

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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.