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Finding the Third Proportional to 48,369.50 and 73,284.50

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Solution

The third proportional to 48,369.50 and 73,284.50 is: 111,033.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,369.50 : 73,284.50 = 73,284.50 : x
  2. Step 2: Convert to fraction form
    48,369.50/73,284.50 = 73,284.50/x
  3. Step 3: Cross multiply
    48,369.50x = 73,284.50 × 73,284.50
  4. Step 4: Simplify right side
    48,369.50x = 5,370,617,940.25
  5. Step 5: Solve for x
    x = 5,370,617,940.25/48,369.50
  6. Step 6: Final answer
    x = 111,033.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.