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Finding the Third Proportional to 6,221.63 and 13,673.44

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Solution

The third proportional to 6,221.63 and 13,673.44 is: 30,050.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.63 : 13,673.44 = 13,673.44 : x
  2. Step 2: Convert to fraction form
    6,221.63/13,673.44 = 13,673.44/x
  3. Step 3: Cross multiply
    6,221.63x = 13,673.44 × 13,673.44
  4. Step 4: Simplify right side
    6,221.63x = 186,962,893.07
  5. Step 5: Solve for x
    x = 186,962,893.07/6,221.63
  6. Step 6: Final answer
    x = 30,050.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.