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Finding the Third Proportional to 11,833.50 and 16,453.50

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Solution

The third proportional to 11,833.50 and 16,453.50 is: 22,877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.50 : 16,453.50 = 16,453.50 : x
  2. Step 2: Convert to fraction form
    11,833.50/16,453.50 = 16,453.50/x
  3. Step 3: Cross multiply
    11,833.50x = 16,453.50 × 16,453.50
  4. Step 4: Simplify right side
    11,833.50x = 270,717,662.25
  5. Step 5: Solve for x
    x = 270,717,662.25/11,833.50
  6. Step 6: Final answer
    x = 22,877.23

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.