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Finding the Third Proportional to 41,828 and 59,628

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Solution

The third proportional to 41,828 and 59,628 is: 85,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,828 : 59,628 = 59,628 : x
  2. Step 2: Convert to fraction form
    41,828/59,628 = 59,628/x
  3. Step 3: Cross multiply
    41,828x = 59,628 × 59,628
  4. Step 4: Simplify right side
    41,828x = 3,555,498,384
  5. Step 5: Solve for x
    x = 3,555,498,384/41,828
  6. Step 6: Final answer
    x = 85,002.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.