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Finding the Third Proportional to 16,813 and 25,644

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Solution

The third proportional to 16,813 and 25,644 is: 39,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813 : 25,644 = 25,644 : x
  2. Step 2: Convert to fraction form
    16,813/25,644 = 25,644/x
  3. Step 3: Cross multiply
    16,813x = 25,644 × 25,644
  4. Step 4: Simplify right side
    16,813x = 657,614,736
  5. Step 5: Solve for x
    x = 657,614,736/16,813
  6. Step 6: Final answer
    x = 39,113.47

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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.