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Finding the Third Proportional to 34,738.88 and 70,706.25

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Solution

The third proportional to 34,738.88 and 70,706.25 is: 143,912.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,738.88 : 70,706.25 = 70,706.25 : x
  2. Step 2: Convert to fraction form
    34,738.88/70,706.25 = 70,706.25/x
  3. Step 3: Cross multiply
    34,738.88x = 70,706.25 × 70,706.25
  4. Step 4: Simplify right side
    34,738.88x = 4,999,373,789.06
  5. Step 5: Solve for x
    x = 4,999,373,789.06/34,738.88
  6. Step 6: Final answer
    x = 143,912.94

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.