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Finding the Third Proportional to 33,969 and 48,929

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Solution

The third proportional to 33,969 and 48,929 is: 70,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,969 : 48,929 = 48,929 : x
  2. Step 2: Convert to fraction form
    33,969/48,929 = 48,929/x
  3. Step 3: Cross multiply
    33,969x = 48,929 × 48,929
  4. Step 4: Simplify right side
    33,969x = 2,394,047,041
  5. Step 5: Solve for x
    x = 2,394,047,041/33,969
  6. Step 6: Final answer
    x = 70,477.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.