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Finding the Third Proportional to 30,824 and 46,268

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Solution

The third proportional to 30,824 and 46,268 is: 69,450.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824 : 46,268 = 46,268 : x
  2. Step 2: Convert to fraction form
    30,824/46,268 = 46,268/x
  3. Step 3: Cross multiply
    30,824x = 46,268 × 46,268
  4. Step 4: Simplify right side
    30,824x = 2,140,727,824
  5. Step 5: Solve for x
    x = 2,140,727,824/30,824
  6. Step 6: Final answer
    x = 69,450.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.