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Finding the Third Proportional to 19,252.69 and 47,481.19

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Solution

The third proportional to 19,252.69 and 47,481.19 is: 117,098.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,252.69 : 47,481.19 = 47,481.19 : x
  2. Step 2: Convert to fraction form
    19,252.69/47,481.19 = 47,481.19/x
  3. Step 3: Cross multiply
    19,252.69x = 47,481.19 × 47,481.19
  4. Step 4: Simplify right side
    19,252.69x = 2,254,463,166.41
  5. Step 5: Solve for x
    x = 2,254,463,166.41/19,252.69
  6. Step 6: Final answer
    x = 117,098.62

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These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.