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Finding the Third Proportional to 37,262 and 56,375

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Solution

The third proportional to 37,262 and 56,375 is: 85,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,262 : 56,375 = 56,375 : x
  2. Step 2: Convert to fraction form
    37,262/56,375 = 56,375/x
  3. Step 3: Cross multiply
    37,262x = 56,375 × 56,375
  4. Step 4: Simplify right side
    37,262x = 3,178,140,625
  5. Step 5: Solve for x
    x = 3,178,140,625/37,262
  6. Step 6: Final answer
    x = 85,291.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.