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Finding the Third Proportional to 30,511.69 and 46,198.69

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Solution

The third proportional to 30,511.69 and 46,198.69 is: 69,950.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511.69 : 46,198.69 = 46,198.69 : x
  2. Step 2: Convert to fraction form
    30,511.69/46,198.69 = 46,198.69/x
  3. Step 3: Cross multiply
    30,511.69x = 46,198.69 × 46,198.69
  4. Step 4: Simplify right side
    30,511.69x = 2,134,318,726.72
  5. Step 5: Solve for x
    x = 2,134,318,726.72/30,511.69
  6. Step 6: Final answer
    x = 69,950.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.