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Finding the Third Proportional to 37,515.50 and 57,225.88

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Solution

The third proportional to 37,515.50 and 57,225.88 is: 87,291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,515.50 : 57,225.88 = 57,225.88 : x
  2. Step 2: Convert to fraction form
    37,515.50/57,225.88 = 57,225.88/x
  3. Step 3: Cross multiply
    37,515.50x = 57,225.88 × 57,225.88
  4. Step 4: Simplify right side
    37,515.50x = 3,274,800,769.52
  5. Step 5: Solve for x
    x = 3,274,800,769.52/37,515.50
  6. Step 6: Final answer
    x = 87,291.94

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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.