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Finding the Third Proportional to 17,226.75 and 41,689.88

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Solution

The third proportional to 17,226.75 and 41,689.88 is: 100,892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,226.75 : 41,689.88 = 41,689.88 : x
  2. Step 2: Convert to fraction form
    17,226.75/41,689.88 = 41,689.88/x
  3. Step 3: Cross multiply
    17,226.75x = 41,689.88 × 41,689.88
  4. Step 4: Simplify right side
    17,226.75x = 1,738,045,677.52
  5. Step 5: Solve for x
    x = 1,738,045,677.52/17,226.75
  6. Step 6: Final answer
    x = 100,892.26

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.