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Finding the Third Proportional to 16,764.75 and 23,835.38

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Solution

The third proportional to 16,764.75 and 23,835.38 is: 33,888.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,764.75 : 23,835.38 = 23,835.38 : x
  2. Step 2: Convert to fraction form
    16,764.75/23,835.38 = 23,835.38/x
  3. Step 3: Cross multiply
    16,764.75x = 23,835.38 × 23,835.38
  4. Step 4: Simplify right side
    16,764.75x = 568,125,101.39
  5. Step 5: Solve for x
    x = 568,125,101.39/16,764.75
  6. Step 6: Final answer
    x = 33,888.07

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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.