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Finding the Third Proportional to 50,817 and 74,380.50

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Solution

The third proportional to 50,817 and 74,380.50 is: 108,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,817 : 74,380.50 = 74,380.50 : x
  2. Step 2: Convert to fraction form
    50,817/74,380.50 = 74,380.50/x
  3. Step 3: Cross multiply
    50,817x = 74,380.50 × 74,380.50
  4. Step 4: Simplify right side
    50,817x = 5,532,458,780.25
  5. Step 5: Solve for x
    x = 5,532,458,780.25/50,817
  6. Step 6: Final answer
    x = 108,870.24

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.