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Finding the Third Proportional to 29,796 and 39,744

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Solution

The third proportional to 29,796 and 39,744 is: 53,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,796 : 39,744 = 39,744 : x
  2. Step 2: Convert to fraction form
    29,796/39,744 = 39,744/x
  3. Step 3: Cross multiply
    29,796x = 39,744 × 39,744
  4. Step 4: Simplify right side
    29,796x = 1,579,585,536
  5. Step 5: Solve for x
    x = 1,579,585,536/29,796
  6. Step 6: Final answer
    x = 53,013.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.