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Finding the Third Proportional to 37,071.42 and 57,450.52

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Solution

The third proportional to 37,071.42 and 57,450.52 is: 89,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,071.42 : 57,450.52 = 57,450.52 : x
  2. Step 2: Convert to fraction form
    37,071.42/57,450.52 = 57,450.52/x
  3. Step 3: Cross multiply
    37,071.42x = 57,450.52 × 57,450.52
  4. Step 4: Simplify right side
    37,071.42x = 3,300,561,745.58
  5. Step 5: Solve for x
    x = 3,300,561,745.58/37,071.42
  6. Step 6: Final answer
    x = 89,032.51

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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.