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Finding the Third Proportional to 6,226.24 and 13,436.44

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Solution

The third proportional to 6,226.24 and 13,436.44 is: 28,996.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.24 : 13,436.44 = 13,436.44 : x
  2. Step 2: Convert to fraction form
    6,226.24/13,436.44 = 13,436.44/x
  3. Step 3: Cross multiply
    6,226.24x = 13,436.44 × 13,436.44
  4. Step 4: Simplify right side
    6,226.24x = 180,537,852.69
  5. Step 5: Solve for x
    x = 180,537,852.69/6,226.24
  6. Step 6: Final answer
    x = 28,996.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.