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Finding the Third Proportional to 37,122.05 and 57,511.27

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Solution

The third proportional to 37,122.05 and 57,511.27 is: 89,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,122.05 : 57,511.27 = 57,511.27 : x
  2. Step 2: Convert to fraction form
    37,122.05/57,511.27 = 57,511.27/x
  3. Step 3: Cross multiply
    37,122.05x = 57,511.27 × 57,511.27
  4. Step 4: Simplify right side
    37,122.05x = 3,307,545,673.79
  5. Step 5: Solve for x
    x = 3,307,545,673.79/37,122.05
  6. Step 6: Final answer
    x = 89,099.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.