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Finding the Third Proportional to 4,743.56 and 6,832.27

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Solution

The third proportional to 4,743.56 and 6,832.27 is: 9,840.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.56 : 6,832.27 = 6,832.27 : x
  2. Step 2: Convert to fraction form
    4,743.56/6,832.27 = 6,832.27/x
  3. Step 3: Cross multiply
    4,743.56x = 6,832.27 × 6,832.27
  4. Step 4: Simplify right side
    4,743.56x = 46,679,853.57
  5. Step 5: Solve for x
    x = 46,679,853.57/4,743.56
  6. Step 6: Final answer
    x = 9,840.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.