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Finding the Third Proportional to 5,324.34 and 8,235.84

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Solution

The third proportional to 5,324.34 and 8,235.84 is: 12,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.34 : 8,235.84 = 8,235.84 : x
  2. Step 2: Convert to fraction form
    5,324.34/8,235.84 = 8,235.84/x
  3. Step 3: Cross multiply
    5,324.34x = 8,235.84 × 8,235.84
  4. Step 4: Simplify right side
    5,324.34x = 67,829,122.27
  5. Step 5: Solve for x
    x = 67,829,122.27/5,324.34
  6. Step 6: Final answer
    x = 12,739.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.