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Finding the Third Proportional to 4,622.06 and 5,940.84

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Solution

The third proportional to 4,622.06 and 5,940.84 is: 7,635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.06 : 5,940.84 = 5,940.84 : x
  2. Step 2: Convert to fraction form
    4,622.06/5,940.84 = 5,940.84/x
  3. Step 3: Cross multiply
    4,622.06x = 5,940.84 × 5,940.84
  4. Step 4: Simplify right side
    4,622.06x = 35,293,624.46
  5. Step 5: Solve for x
    x = 35,293,624.46/4,622.06
  6. Step 6: Final answer
    x = 7,635.90

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.