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Finding the Third Proportional to 13,804.50 and 20,963.25

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Solution

The third proportional to 13,804.50 and 20,963.25 is: 31,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.50 : 20,963.25 = 20,963.25 : x
  2. Step 2: Convert to fraction form
    13,804.50/20,963.25 = 20,963.25/x
  3. Step 3: Cross multiply
    13,804.50x = 20,963.25 × 20,963.25
  4. Step 4: Simplify right side
    13,804.50x = 439,457,850.56
  5. Step 5: Solve for x
    x = 439,457,850.56/13,804.50
  6. Step 6: Final answer
    x = 31,834.39

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.