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Finding the Third Proportional to 37,670 and 55,353

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Solution

The third proportional to 37,670 and 55,353 is: 81,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,670 : 55,353 = 55,353 : x
  2. Step 2: Convert to fraction form
    37,670/55,353 = 55,353/x
  3. Step 3: Cross multiply
    37,670x = 55,353 × 55,353
  4. Step 4: Simplify right side
    37,670x = 3,063,954,609
  5. Step 5: Solve for x
    x = 3,063,954,609/37,670
  6. Step 6: Final answer
    x = 81,336.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.