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Finding the Third Proportional to 36,408 and 54,870

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Solution

The third proportional to 36,408 and 54,870 is: 82,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,408 : 54,870 = 54,870 : x
  2. Step 2: Convert to fraction form
    36,408/54,870 = 54,870/x
  3. Step 3: Cross multiply
    36,408x = 54,870 × 54,870
  4. Step 4: Simplify right side
    36,408x = 3,010,716,900
  5. Step 5: Solve for x
    x = 3,010,716,900/36,408
  6. Step 6: Final answer
    x = 82,693.83

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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.