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Finding the Third Proportional to 30,511.69 and 46,375.03

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Solution

The third proportional to 30,511.69 and 46,375.03 is: 70,485.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511.69 : 46,375.03 = 46,375.03 : x
  2. Step 2: Convert to fraction form
    30,511.69/46,375.03 = 46,375.03/x
  3. Step 3: Cross multiply
    30,511.69x = 46,375.03 × 46,375.03
  4. Step 4: Simplify right side
    30,511.69x = 2,150,643,523.44
  5. Step 5: Solve for x
    x = 2,150,643,523.44/30,511.69
  6. Step 6: Final answer
    x = 70,485.89

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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.