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Finding the Third Proportional to 4,143.34 and 5,823.46

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Solution

The third proportional to 4,143.34 and 5,823.46 is: 8,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.34 : 5,823.46 = 5,823.46 : x
  2. Step 2: Convert to fraction form
    4,143.34/5,823.46 = 5,823.46/x
  3. Step 3: Cross multiply
    4,143.34x = 5,823.46 × 5,823.46
  4. Step 4: Simplify right side
    4,143.34x = 33,912,651.79
  5. Step 5: Solve for x
    x = 33,912,651.79/4,143.34
  6. Step 6: Final answer
    x = 8,184.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.