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Finding the Third Proportional to 30,908.46 and 66,737.67

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Solution

The third proportional to 30,908.46 and 66,737.67 is: 144,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,908.46 : 66,737.67 = 66,737.67 : x
  2. Step 2: Convert to fraction form
    30,908.46/66,737.67 = 66,737.67/x
  3. Step 3: Cross multiply
    30,908.46x = 66,737.67 × 66,737.67
  4. Step 4: Simplify right side
    30,908.46x = 4,453,916,847.30
  5. Step 5: Solve for x
    x = 4,453,916,847.30/30,908.46
  6. Step 6: Final answer
    x = 144,100.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.