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Finding the Third Proportional to 4,664.46 and 6,993.84

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Solution

The third proportional to 4,664.46 and 6,993.84 is: 10,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.46 : 6,993.84 = 6,993.84 : x
  2. Step 2: Convert to fraction form
    4,664.46/6,993.84 = 6,993.84/x
  3. Step 3: Cross multiply
    4,664.46x = 6,993.84 × 6,993.84
  4. Step 4: Simplify right side
    4,664.46x = 48,913,850.40
  5. Step 5: Solve for x
    x = 48,913,850.40/4,664.46
  6. Step 6: Final answer
    x = 10,486.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.