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Finding the Third Proportional to 16,791 and 25,713

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Solution

The third proportional to 16,791 and 25,713 is: 39,375.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,791 : 25,713 = 25,713 : x
  2. Step 2: Convert to fraction form
    16,791/25,713 = 25,713/x
  3. Step 3: Cross multiply
    16,791x = 25,713 × 25,713
  4. Step 4: Simplify right side
    16,791x = 661,158,369
  5. Step 5: Solve for x
    x = 661,158,369/16,791
  6. Step 6: Final answer
    x = 39,375.76

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.