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Finding the Third Proportional to 6,216.75 and 12,118.50

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Solution

The third proportional to 6,216.75 and 12,118.50 is: 23,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.75 : 12,118.50 = 12,118.50 : x
  2. Step 2: Convert to fraction form
    6,216.75/12,118.50 = 12,118.50/x
  3. Step 3: Cross multiply
    6,216.75x = 12,118.50 × 12,118.50
  4. Step 4: Simplify right side
    6,216.75x = 146,858,042.25
  5. Step 5: Solve for x
    x = 146,858,042.25/6,216.75
  6. Step 6: Final answer
    x = 23,622.96

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.