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Finding the Third Proportional to 13,947.75 and 21,435.75

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Solution

The third proportional to 13,947.75 and 21,435.75 is: 32,943.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,947.75 : 21,435.75 = 21,435.75 : x
  2. Step 2: Convert to fraction form
    13,947.75/21,435.75 = 21,435.75/x
  3. Step 3: Cross multiply
    13,947.75x = 21,435.75 × 21,435.75
  4. Step 4: Simplify right side
    13,947.75x = 459,491,378.06
  5. Step 5: Solve for x
    x = 459,491,378.06/13,947.75
  6. Step 6: Final answer
    x = 32,943.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.