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Finding the Third Proportional to 33,708 and 48,984

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Solution

The third proportional to 33,708 and 48,984 is: 71,182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,708 : 48,984 = 48,984 : x
  2. Step 2: Convert to fraction form
    33,708/48,984 = 48,984/x
  3. Step 3: Cross multiply
    33,708x = 48,984 × 48,984
  4. Step 4: Simplify right side
    33,708x = 2,399,432,256
  5. Step 5: Solve for x
    x = 2,399,432,256/33,708
  6. Step 6: Final answer
    x = 71,182.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.