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Finding the Third Proportional to 16,352.25 and 25,314.75

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Solution

The third proportional to 16,352.25 and 25,314.75 is: 39,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,352.25 : 25,314.75 = 25,314.75 : x
  2. Step 2: Convert to fraction form
    16,352.25/25,314.75 = 25,314.75/x
  3. Step 3: Cross multiply
    16,352.25x = 25,314.75 × 25,314.75
  4. Step 4: Simplify right side
    16,352.25x = 640,836,567.56
  5. Step 5: Solve for x
    x = 640,836,567.56/16,352.25
  6. Step 6: Final answer
    x = 39,189.50

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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.