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Finding the Third Proportional to 17,309.25 and 37,821.75

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Solution

The third proportional to 17,309.25 and 37,821.75 is: 82,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,309.25 : 37,821.75 = 37,821.75 : x
  2. Step 2: Convert to fraction form
    17,309.25/37,821.75 = 37,821.75/x
  3. Step 3: Cross multiply
    17,309.25x = 37,821.75 × 37,821.75
  4. Step 4: Simplify right side
    17,309.25x = 1,430,484,773.06
  5. Step 5: Solve for x
    x = 1,430,484,773.06/17,309.25
  6. Step 6: Final answer
    x = 82,642.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.