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Finding the Third Proportional to 33,470 and 70,390

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Solution

The third proportional to 33,470 and 70,390 is: 148,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,470 : 70,390 = 70,390 : x
  2. Step 2: Convert to fraction form
    33,470/70,390 = 70,390/x
  3. Step 3: Cross multiply
    33,470x = 70,390 × 70,390
  4. Step 4: Simplify right side
    33,470x = 4,954,752,100
  5. Step 5: Solve for x
    x = 4,954,752,100/33,470
  6. Step 6: Final answer
    x = 148,035.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.