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Finding the Third Proportional to 37,782.70 and 57,579.61

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Solution

The third proportional to 37,782.70 and 57,579.61 is: 87,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,782.70 : 57,579.61 = 57,579.61 : x
  2. Step 2: Convert to fraction form
    37,782.70/57,579.61 = 57,579.61/x
  3. Step 3: Cross multiply
    37,782.70x = 57,579.61 × 57,579.61
  4. Step 4: Simplify right side
    37,782.70x = 3,315,411,415.78
  5. Step 5: Solve for x
    x = 3,315,411,415.78/37,782.70
  6. Step 6: Final answer
    x = 87,749.45

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.