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Finding the Third Proportional to 37,201.78 and 65,450.53

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Solution

The third proportional to 37,201.78 and 65,450.53 is: 115,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,201.78 : 65,450.53 = 65,450.53 : x
  2. Step 2: Convert to fraction form
    37,201.78/65,450.53 = 65,450.53/x
  3. Step 3: Cross multiply
    37,201.78x = 65,450.53 × 65,450.53
  4. Step 4: Simplify right side
    37,201.78x = 4,283,772,040.91
  5. Step 5: Solve for x
    x = 4,283,772,040.91/37,201.78
  6. Step 6: Final answer
    x = 115,149.65

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.