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Finding the Third Proportional to 33,970 and 74,110

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Solution

The third proportional to 33,970 and 74,110 is: 161,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,970 : 74,110 = 74,110 : x
  2. Step 2: Convert to fraction form
    33,970/74,110 = 74,110/x
  3. Step 3: Cross multiply
    33,970x = 74,110 × 74,110
  4. Step 4: Simplify right side
    33,970x = 5,492,292,100
  5. Step 5: Solve for x
    x = 5,492,292,100/33,970
  6. Step 6: Final answer
    x = 161,680.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.