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Finding the Third Proportional to 14,083.88 and 21,839.63

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Solution

The third proportional to 14,083.88 and 21,839.63 is: 33,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.88 : 21,839.63 = 21,839.63 : x
  2. Step 2: Convert to fraction form
    14,083.88/21,839.63 = 21,839.63/x
  3. Step 3: Cross multiply
    14,083.88x = 21,839.63 × 21,839.63
  4. Step 4: Simplify right side
    14,083.88x = 476,969,220.14
  5. Step 5: Solve for x
    x = 476,969,220.14/14,083.88
  6. Step 6: Final answer
    x = 33,866.33

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