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Finding the Third Proportional to 37,414.69 and 55,028.25

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Solution

The third proportional to 37,414.69 and 55,028.25 is: 80,933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,414.69 : 55,028.25 = 55,028.25 : x
  2. Step 2: Convert to fraction form
    37,414.69/55,028.25 = 55,028.25/x
  3. Step 3: Cross multiply
    37,414.69x = 55,028.25 × 55,028.25
  4. Step 4: Simplify right side
    37,414.69x = 3,028,108,298.06
  5. Step 5: Solve for x
    x = 3,028,108,298.06/37,414.69
  6. Step 6: Final answer
    x = 80,933.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.