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Finding the Third Proportional to 19,489.50 and 41,028.75

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Solution

The third proportional to 19,489.50 and 41,028.75 is: 86,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,489.50 : 41,028.75 = 41,028.75 : x
  2. Step 2: Convert to fraction form
    19,489.50/41,028.75 = 41,028.75/x
  3. Step 3: Cross multiply
    19,489.50x = 41,028.75 × 41,028.75
  4. Step 4: Simplify right side
    19,489.50x = 1,683,358,326.56
  5. Step 5: Solve for x
    x = 1,683,358,326.56/19,489.50
  6. Step 6: Final answer
    x = 86,372.58

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.