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Finding the Third Proportional to 16,503.75 and 23,515.31

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Solution

The third proportional to 16,503.75 and 23,515.31 is: 33,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.75 : 23,515.31 = 23,515.31 : x
  2. Step 2: Convert to fraction form
    16,503.75/23,515.31 = 23,515.31/x
  3. Step 3: Cross multiply
    16,503.75x = 23,515.31 × 23,515.31
  4. Step 4: Simplify right side
    16,503.75x = 552,969,921.97
  5. Step 5: Solve for x
    x = 552,969,921.97/16,503.75
  6. Step 6: Final answer
    x = 33,505.71

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.