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Finding the Third Proportional to 33,925 and 70,946

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Solution

The third proportional to 33,925 and 70,946 is: 148,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,925 : 70,946 = 70,946 : x
  2. Step 2: Convert to fraction form
    33,925/70,946 = 70,946/x
  3. Step 3: Cross multiply
    33,925x = 70,946 × 70,946
  4. Step 4: Simplify right side
    33,925x = 5,033,334,916
  5. Step 5: Solve for x
    x = 5,033,334,916/33,925
  6. Step 6: Final answer
    x = 148,366.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.