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Finding the Third Proportional to 28,212 and 59,593

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Solution

The third proportional to 28,212 and 59,593 is: 125,879.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,212 : 59,593 = 59,593 : x
  2. Step 2: Convert to fraction form
    28,212/59,593 = 59,593/x
  3. Step 3: Cross multiply
    28,212x = 59,593 × 59,593
  4. Step 4: Simplify right side
    28,212x = 3,551,325,649
  5. Step 5: Solve for x
    x = 3,551,325,649/28,212
  6. Step 6: Final answer
    x = 125,879.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.