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Finding the Third Proportional to 19,103.75 and 41,491.75

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Solution

The third proportional to 19,103.75 and 41,491.75 is: 90,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,103.75 : 41,491.75 = 41,491.75 : x
  2. Step 2: Convert to fraction form
    19,103.75/41,491.75 = 41,491.75/x
  3. Step 3: Cross multiply
    19,103.75x = 41,491.75 × 41,491.75
  4. Step 4: Simplify right side
    19,103.75x = 1,721,565,318.06
  5. Step 5: Solve for x
    x = 1,721,565,318.06/19,103.75
  6. Step 6: Final answer
    x = 90,116.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.