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Finding the Third Proportional to 5,673.88 and 12,221.13

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Solution

The third proportional to 5,673.88 and 12,221.13 is: 26,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.88 : 12,221.13 = 12,221.13 : x
  2. Step 2: Convert to fraction form
    5,673.88/12,221.13 = 12,221.13/x
  3. Step 3: Cross multiply
    5,673.88x = 12,221.13 × 12,221.13
  4. Step 4: Simplify right side
    5,673.88x = 149,355,896.27
  5. Step 5: Solve for x
    x = 149,355,896.27/5,673.88
  6. Step 6: Final answer
    x = 26,323.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.