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Finding the Third Proportional to 46,271.25 and 69,216.75

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Solution

The third proportional to 46,271.25 and 69,216.75 is: 103,540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,271.25 : 69,216.75 = 69,216.75 : x
  2. Step 2: Convert to fraction form
    46,271.25/69,216.75 = 69,216.75/x
  3. Step 3: Cross multiply
    46,271.25x = 69,216.75 × 69,216.75
  4. Step 4: Simplify right side
    46,271.25x = 4,790,958,480.56
  5. Step 5: Solve for x
    x = 4,790,958,480.56/46,271.25
  6. Step 6: Final answer
    x = 103,540.72

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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.