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Finding the Third Proportional to 19,495.75 and 41,028.50

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Solution

The third proportional to 19,495.75 and 41,028.50 is: 86,343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,495.75 : 41,028.50 = 41,028.50 : x
  2. Step 2: Convert to fraction form
    19,495.75/41,028.50 = 41,028.50/x
  3. Step 3: Cross multiply
    19,495.75x = 41,028.50 × 41,028.50
  4. Step 4: Simplify right side
    19,495.75x = 1,683,337,812.25
  5. Step 5: Solve for x
    x = 1,683,337,812.25/19,495.75
  6. Step 6: Final answer
    x = 86,343.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.