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Finding the Third Proportional to 29,668 and 39,631

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Solution

The third proportional to 29,668 and 39,631 is: 52,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,668 : 39,631 = 39,631 : x
  2. Step 2: Convert to fraction form
    29,668/39,631 = 39,631/x
  3. Step 3: Cross multiply
    29,668x = 39,631 × 39,631
  4. Step 4: Simplify right side
    29,668x = 1,570,616,161
  5. Step 5: Solve for x
    x = 1,570,616,161/29,668
  6. Step 6: Final answer
    x = 52,939.74

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.