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Finding the Third Proportional to 17,412.75 and 41,523.75

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Solution

The third proportional to 17,412.75 and 41,523.75 is: 99,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412.75 : 41,523.75 = 41,523.75 : x
  2. Step 2: Convert to fraction form
    17,412.75/41,523.75 = 41,523.75/x
  3. Step 3: Cross multiply
    17,412.75x = 41,523.75 × 41,523.75
  4. Step 4: Simplify right side
    17,412.75x = 1,724,221,814.06
  5. Step 5: Solve for x
    x = 1,724,221,814.06/17,412.75
  6. Step 6: Final answer
    x = 99,020.65

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.