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Finding the Third Proportional to 37,673.23 and 51,163.52

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Solution

The third proportional to 37,673.23 and 51,163.52 is: 69,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,673.23 : 51,163.52 = 51,163.52 : x
  2. Step 2: Convert to fraction form
    37,673.23/51,163.52 = 51,163.52/x
  3. Step 3: Cross multiply
    37,673.23x = 51,163.52 × 51,163.52
  4. Step 4: Simplify right side
    37,673.23x = 2,617,706,130.54
  5. Step 5: Solve for x
    x = 2,617,706,130.54/37,673.23
  6. Step 6: Final answer
    x = 69,484.52

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.