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Finding the Third Proportional to 25,162 and 37,800

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Solution

The third proportional to 25,162 and 37,800 is: 56,785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,162 : 37,800 = 37,800 : x
  2. Step 2: Convert to fraction form
    25,162/37,800 = 37,800/x
  3. Step 3: Cross multiply
    25,162x = 37,800 × 37,800
  4. Step 4: Simplify right side
    25,162x = 1,428,840,000
  5. Step 5: Solve for x
    x = 1,428,840,000/25,162
  6. Step 6: Final answer
    x = 56,785.63

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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.