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Finding the Third Proportional to 37,270.13 and 57,674.53

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Solution

The third proportional to 37,270.13 and 57,674.53 is: 89,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,270.13 : 57,674.53 = 57,674.53 : x
  2. Step 2: Convert to fraction form
    37,270.13/57,674.53 = 57,674.53/x
  3. Step 3: Cross multiply
    37,270.13x = 57,674.53 × 57,674.53
  4. Step 4: Simplify right side
    37,270.13x = 3,326,351,554.91
  5. Step 5: Solve for x
    x = 3,326,351,554.91/37,270.13
  6. Step 6: Final answer
    x = 89,249.81

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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.