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Finding the Third Proportional to 36,720 and 55,026

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Solution

The third proportional to 36,720 and 55,026 is: 82,458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,720 : 55,026 = 55,026 : x
  2. Step 2: Convert to fraction form
    36,720/55,026 = 55,026/x
  3. Step 3: Cross multiply
    36,720x = 55,026 × 55,026
  4. Step 4: Simplify right side
    36,720x = 3,027,860,676
  5. Step 5: Solve for x
    x = 3,027,860,676/36,720
  6. Step 6: Final answer
    x = 82,458.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.