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Finding the Third Proportional to 4,447.06 and 6,975.84

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Solution

The third proportional to 4,447.06 and 6,975.84 is: 10,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.06 : 6,975.84 = 6,975.84 : x
  2. Step 2: Convert to fraction form
    4,447.06/6,975.84 = 6,975.84/x
  3. Step 3: Cross multiply
    4,447.06x = 6,975.84 × 6,975.84
  4. Step 4: Simplify right side
    4,447.06x = 48,662,396.02
  5. Step 5: Solve for x
    x = 48,662,396.02/4,447.06
  6. Step 6: Final answer
    x = 10,942.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.