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Finding the Third Proportional to 30,669.75 and 46,464.75

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Solution

The third proportional to 30,669.75 and 46,464.75 is: 70,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,669.75 : 46,464.75 = 46,464.75 : x
  2. Step 2: Convert to fraction form
    30,669.75/46,464.75 = 46,464.75/x
  3. Step 3: Cross multiply
    30,669.75x = 46,464.75 × 46,464.75
  4. Step 4: Simplify right side
    30,669.75x = 2,158,972,992.56
  5. Step 5: Solve for x
    x = 2,158,972,992.56/30,669.75
  6. Step 6: Final answer
    x = 70,394.22

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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.