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Finding the Third Proportional to 17,202.75 and 37,683.75

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Solution

The third proportional to 17,202.75 and 37,683.75 is: 82,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.75 : 37,683.75 = 37,683.75 : x
  2. Step 2: Convert to fraction form
    17,202.75/37,683.75 = 37,683.75/x
  3. Step 3: Cross multiply
    17,202.75x = 37,683.75 × 37,683.75
  4. Step 4: Simplify right side
    17,202.75x = 1,420,065,014.06
  5. Step 5: Solve for x
    x = 1,420,065,014.06/17,202.75
  6. Step 6: Final answer
    x = 82,548.72

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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.