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Finding the Third Proportional to 16,775 and 26,968

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Solution

The third proportional to 16,775 and 26,968 is: 43,354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,775 : 26,968 = 26,968 : x
  2. Step 2: Convert to fraction form
    16,775/26,968 = 26,968/x
  3. Step 3: Cross multiply
    16,775x = 26,968 × 26,968
  4. Step 4: Simplify right side
    16,775x = 727,273,024
  5. Step 5: Solve for x
    x = 727,273,024/16,775
  6. Step 6: Final answer
    x = 43,354.58

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.