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Finding the Third Proportional to 6,226.88 and 6,647.06

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Solution

The third proportional to 6,226.88 and 6,647.06 is: 7,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.88 : 6,647.06 = 6,647.06 : x
  2. Step 2: Convert to fraction form
    6,226.88/6,647.06 = 6,647.06/x
  3. Step 3: Cross multiply
    6,226.88x = 6,647.06 × 6,647.06
  4. Step 4: Simplify right side
    6,226.88x = 44,183,439.88
  5. Step 5: Solve for x
    x = 44,183,439.88/6,226.88
  6. Step 6: Final answer
    x = 7,095.60

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.