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Finding the Third Proportional to 37,821 and 62,815.50

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Solution

The third proportional to 37,821 and 62,815.50 is: 104,327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,821 : 62,815.50 = 62,815.50 : x
  2. Step 2: Convert to fraction form
    37,821/62,815.50 = 62,815.50/x
  3. Step 3: Cross multiply
    37,821x = 62,815.50 × 62,815.50
  4. Step 4: Simplify right side
    37,821x = 3,945,787,040.25
  5. Step 5: Solve for x
    x = 3,945,787,040.25/37,821
  6. Step 6: Final answer
    x = 104,327.94

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.