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Finding the Third Proportional to 16,676 and 25,814

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Solution

The third proportional to 16,676 and 25,814 is: 39,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,676 : 25,814 = 25,814 : x
  2. Step 2: Convert to fraction form
    16,676/25,814 = 25,814/x
  3. Step 3: Cross multiply
    16,676x = 25,814 × 25,814
  4. Step 4: Simplify right side
    16,676x = 666,362,596
  5. Step 5: Solve for x
    x = 666,362,596/16,676
  6. Step 6: Final answer
    x = 39,959.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.