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Finding the Third Proportional to 4,548.23 and 6,943.85

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Solution

The third proportional to 4,548.23 and 6,943.85 is: 10,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.23 : 6,943.85 = 6,943.85 : x
  2. Step 2: Convert to fraction form
    4,548.23/6,943.85 = 6,943.85/x
  3. Step 3: Cross multiply
    4,548.23x = 6,943.85 × 6,943.85
  4. Step 4: Simplify right side
    4,548.23x = 48,217,074.52
  5. Step 5: Solve for x
    x = 48,217,074.52/4,548.23
  6. Step 6: Final answer
    x = 10,601.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.