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Finding the Third Proportional to 5,391.56 and 8,283.94

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Solution

The third proportional to 5,391.56 and 8,283.94 is: 12,727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,391.56 : 8,283.94 = 8,283.94 : x
  2. Step 2: Convert to fraction form
    5,391.56/8,283.94 = 8,283.94/x
  3. Step 3: Cross multiply
    5,391.56x = 8,283.94 × 8,283.94
  4. Step 4: Simplify right side
    5,391.56x = 68,623,620.50
  5. Step 5: Solve for x
    x = 68,623,620.50/5,391.56
  6. Step 6: Final answer
    x = 12,727.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.