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Finding the Third Proportional to 6,216.75 and 9,626.34

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Solution

The third proportional to 6,216.75 and 9,626.34 is: 14,905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.75 : 9,626.34 = 9,626.34 : x
  2. Step 2: Convert to fraction form
    6,216.75/9,626.34 = 9,626.34/x
  3. Step 3: Cross multiply
    6,216.75x = 9,626.34 × 9,626.34
  4. Step 4: Simplify right side
    6,216.75x = 92,666,493.99
  5. Step 5: Solve for x
    x = 92,666,493.99/6,216.75
  6. Step 6: Final answer
    x = 14,905.94

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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.