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Finding the Third Proportional to 33,478 and 48,873

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Solution

The third proportional to 33,478 and 48,873 is: 71,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,478 : 48,873 = 48,873 : x
  2. Step 2: Convert to fraction form
    33,478/48,873 = 48,873/x
  3. Step 3: Cross multiply
    33,478x = 48,873 × 48,873
  4. Step 4: Simplify right side
    33,478x = 2,388,570,129
  5. Step 5: Solve for x
    x = 2,388,570,129/33,478
  6. Step 6: Final answer
    x = 71,347.46

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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.