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Finding the Third Proportional to 37,072.69 and 57,452.06

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Solution

The third proportional to 37,072.69 and 57,452.06 is: 89,034.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,072.69 : 57,452.06 = 57,452.06 : x
  2. Step 2: Convert to fraction form
    37,072.69/57,452.06 = 57,452.06/x
  3. Step 3: Cross multiply
    37,072.69x = 57,452.06 × 57,452.06
  4. Step 4: Simplify right side
    37,072.69x = 3,300,739,485.50
  5. Step 5: Solve for x
    x = 3,300,739,485.50/37,072.69
  6. Step 6: Final answer
    x = 89,034.27

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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.