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Finding the Third Proportional to 33,942 and 48,888

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Solution

The third proportional to 33,942 and 48,888 is: 70,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,942 : 48,888 = 48,888 : x
  2. Step 2: Convert to fraction form
    33,942/48,888 = 48,888/x
  3. Step 3: Cross multiply
    33,942x = 48,888 × 48,888
  4. Step 4: Simplify right side
    33,942x = 2,390,036,544
  5. Step 5: Solve for x
    x = 2,390,036,544/33,942
  6. Step 6: Final answer
    x = 70,415.31

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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.