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Finding the Third Proportional to 14,550.75 and 21,947.63

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Solution

The third proportional to 14,550.75 and 21,947.63 is: 33,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,550.75 : 21,947.63 = 21,947.63 : x
  2. Step 2: Convert to fraction form
    14,550.75/21,947.63 = 21,947.63/x
  3. Step 3: Cross multiply
    14,550.75x = 21,947.63 × 21,947.63
  4. Step 4: Simplify right side
    14,550.75x = 481,698,243.14
  5. Step 5: Solve for x
    x = 481,698,243.14/14,550.75
  6. Step 6: Final answer
    x = 33,104.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.