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Finding the Third Proportional to 14,010 and 21,694

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Solution

The third proportional to 14,010 and 21,694 is: 33,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,010 : 21,694 = 21,694 : x
  2. Step 2: Convert to fraction form
    14,010/21,694 = 21,694/x
  3. Step 3: Cross multiply
    14,010x = 21,694 × 21,694
  4. Step 4: Simplify right side
    14,010x = 470,629,636
  5. Step 5: Solve for x
    x = 470,629,636/14,010
  6. Step 6: Final answer
    x = 33,592.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.