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Finding the Third Proportional to 5,503.50 and 8,255.81

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Solution

The third proportional to 5,503.50 and 8,255.81 is: 12,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.50 : 8,255.81 = 8,255.81 : x
  2. Step 2: Convert to fraction form
    5,503.50/8,255.81 = 8,255.81/x
  3. Step 3: Cross multiply
    5,503.50x = 8,255.81 × 8,255.81
  4. Step 4: Simplify right side
    5,503.50x = 68,158,440.04
  5. Step 5: Solve for x
    x = 68,158,440.04/5,503.50
  6. Step 6: Final answer
    x = 12,384.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.