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Finding the Third Proportional to 5,356.27 and 8,216.65

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Solution

The third proportional to 5,356.27 and 8,216.65 is: 12,604.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.27 : 8,216.65 = 8,216.65 : x
  2. Step 2: Convert to fraction form
    5,356.27/8,216.65 = 8,216.65/x
  3. Step 3: Cross multiply
    5,356.27x = 8,216.65 × 8,216.65
  4. Step 4: Simplify right side
    5,356.27x = 67,513,311.55
  5. Step 5: Solve for x
    x = 67,513,311.55/5,356.27
  6. Step 6: Final answer
    x = 12,604.55

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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.