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Finding the Third Proportional to 34,380.75 and 70,902.38

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Solution

The third proportional to 34,380.75 and 70,902.38 is: 146,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,380.75 : 70,902.38 = 70,902.38 : x
  2. Step 2: Convert to fraction form
    34,380.75/70,902.38 = 70,902.38/x
  3. Step 3: Cross multiply
    34,380.75x = 70,902.38 × 70,902.38
  4. Step 4: Simplify right side
    34,380.75x = 5,027,146,780.64
  5. Step 5: Solve for x
    x = 5,027,146,780.64/34,380.75
  6. Step 6: Final answer
    x = 146,219.81

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.