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Finding the Third Proportional to 14,091.47 and 21,943.41

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Solution

The third proportional to 14,091.47 and 21,943.41 is: 34,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.47 : 21,943.41 = 21,943.41 : x
  2. Step 2: Convert to fraction form
    14,091.47/21,943.41 = 21,943.41/x
  3. Step 3: Cross multiply
    14,091.47x = 21,943.41 × 21,943.41
  4. Step 4: Simplify right side
    14,091.47x = 481,513,077.85
  5. Step 5: Solve for x
    x = 481,513,077.85/14,091.47
  6. Step 6: Final answer
    x = 34,170.54

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.