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Finding the Third Proportional to 37,515.42 and 57,225.94

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Solution

The third proportional to 37,515.42 and 57,225.94 is: 87,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,515.42 : 57,225.94 = 57,225.94 : x
  2. Step 2: Convert to fraction form
    37,515.42/57,225.94 = 57,225.94/x
  3. Step 3: Cross multiply
    37,515.42x = 57,225.94 × 57,225.94
  4. Step 4: Simplify right side
    37,515.42x = 3,274,807,922.75
  5. Step 5: Solve for x
    x = 3,274,807,922.75/37,515.42
  6. Step 6: Final answer
    x = 87,292.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.