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Finding the Third Proportional to 33,946 and 74,420

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Solution

The third proportional to 33,946 and 74,420 is: 163,151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,946 : 74,420 = 74,420 : x
  2. Step 2: Convert to fraction form
    33,946/74,420 = 74,420/x
  3. Step 3: Cross multiply
    33,946x = 74,420 × 74,420
  4. Step 4: Simplify right side
    33,946x = 5,538,336,400
  5. Step 5: Solve for x
    x = 5,538,336,400/33,946
  6. Step 6: Final answer
    x = 163,151.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.