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Finding the Third Proportional to 29,632 and 41,676

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Solution

The third proportional to 29,632 and 41,676 is: 58,615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,632 : 41,676 = 41,676 : x
  2. Step 2: Convert to fraction form
    29,632/41,676 = 41,676/x
  3. Step 3: Cross multiply
    29,632x = 41,676 × 41,676
  4. Step 4: Simplify right side
    29,632x = 1,736,888,976
  5. Step 5: Solve for x
    x = 1,736,888,976/29,632
  6. Step 6: Final answer
    x = 58,615.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.