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Finding the Third Proportional to 30,268.69 and 33,366.94

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Solution

The third proportional to 30,268.69 and 33,366.94 is: 36,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,268.69 : 33,366.94 = 33,366.94 : x
  2. Step 2: Convert to fraction form
    30,268.69/33,366.94 = 33,366.94/x
  3. Step 3: Cross multiply
    30,268.69x = 33,366.94 × 33,366.94
  4. Step 4: Simplify right side
    30,268.69x = 1,113,352,518.13
  5. Step 5: Solve for x
    x = 1,113,352,518.13/30,268.69
  6. Step 6: Final answer
    x = 36,782.32

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.