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Finding the Third Proportional to 28,828 and 59,086

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Solution

The third proportional to 28,828 and 59,086 is: 121,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,828 : 59,086 = 59,086 : x
  2. Step 2: Convert to fraction form
    28,828/59,086 = 59,086/x
  3. Step 3: Cross multiply
    28,828x = 59,086 × 59,086
  4. Step 4: Simplify right side
    28,828x = 3,491,155,396
  5. Step 5: Solve for x
    x = 3,491,155,396/28,828
  6. Step 6: Final answer
    x = 121,102.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.