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Finding the Third Proportional to 4,219.50 and 6,550.25

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Solution

The third proportional to 4,219.50 and 6,550.25 is: 10,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.50 : 6,550.25 = 6,550.25 : x
  2. Step 2: Convert to fraction form
    4,219.50/6,550.25 = 6,550.25/x
  3. Step 3: Cross multiply
    4,219.50x = 6,550.25 × 6,550.25
  4. Step 4: Simplify right side
    4,219.50x = 42,905,775.06
  5. Step 5: Solve for x
    x = 42,905,775.06/4,219.50
  6. Step 6: Final answer
    x = 10,168.45

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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.