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Finding the Third Proportional to 33,072 and 48,969

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Solution

The third proportional to 33,072 and 48,969 is: 72,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,072 : 48,969 = 48,969 : x
  2. Step 2: Convert to fraction form
    33,072/48,969 = 48,969/x
  3. Step 3: Cross multiply
    33,072x = 48,969 × 48,969
  4. Step 4: Simplify right side
    33,072x = 2,397,962,961
  5. Step 5: Solve for x
    x = 2,397,962,961/33,072
  6. Step 6: Final answer
    x = 72,507.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.