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Finding the Third Proportional to 16,728.75 and 25,095.38

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Solution

The third proportional to 16,728.75 and 25,095.38 is: 37,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,728.75 : 25,095.38 = 25,095.38 : x
  2. Step 2: Convert to fraction form
    16,728.75/25,095.38 = 25,095.38/x
  3. Step 3: Cross multiply
    16,728.75x = 25,095.38 × 25,095.38
  4. Step 4: Simplify right side
    16,728.75x = 629,777,846.39
  5. Step 5: Solve for x
    x = 629,777,846.39/16,728.75
  6. Step 6: Final answer
    x = 37,646.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.