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Finding the Third Proportional to 33,268 and 48,604

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Solution

The third proportional to 33,268 and 48,604 is: 71,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,268 : 48,604 = 48,604 : x
  2. Step 2: Convert to fraction form
    33,268/48,604 = 48,604/x
  3. Step 3: Cross multiply
    33,268x = 48,604 × 48,604
  4. Step 4: Simplify right side
    33,268x = 2,362,348,816
  5. Step 5: Solve for x
    x = 2,362,348,816/33,268
  6. Step 6: Final answer
    x = 71,009.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.