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Finding the Third Proportional to 29,635 and 41,932

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Solution

The third proportional to 29,635 and 41,932 is: 59,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,635 : 41,932 = 41,932 : x
  2. Step 2: Convert to fraction form
    29,635/41,932 = 41,932/x
  3. Step 3: Cross multiply
    29,635x = 41,932 × 41,932
  4. Step 4: Simplify right side
    29,635x = 1,758,292,624
  5. Step 5: Solve for x
    x = 1,758,292,624/29,635
  6. Step 6: Final answer
    x = 59,331.62

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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.