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Finding the Third Proportional to 17,165 and 24,499.25

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Solution

The third proportional to 17,165 and 24,499.25 is: 34,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165 : 24,499.25 = 24,499.25 : x
  2. Step 2: Convert to fraction form
    17,165/24,499.25 = 24,499.25/x
  3. Step 3: Cross multiply
    17,165x = 24,499.25 × 24,499.25
  4. Step 4: Simplify right side
    17,165x = 600,213,250.56
  5. Step 5: Solve for x
    x = 600,213,250.56/17,165
  6. Step 6: Final answer
    x = 34,967.27

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.