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Finding the Third Proportional to 18,828 and 29,171.25

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Solution

The third proportional to 18,828 and 29,171.25 is: 45,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,828 : 29,171.25 = 29,171.25 : x
  2. Step 2: Convert to fraction form
    18,828/29,171.25 = 29,171.25/x
  3. Step 3: Cross multiply
    18,828x = 29,171.25 × 29,171.25
  4. Step 4: Simplify right side
    18,828x = 850,961,826.56
  5. Step 5: Solve for x
    x = 850,961,826.56/18,828
  6. Step 6: Final answer
    x = 45,196.61

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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.