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Finding the Third Proportional to 24,048 and 33,634

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Solution

The third proportional to 24,048 and 33,634 is: 47,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,048 : 33,634 = 33,634 : x
  2. Step 2: Convert to fraction form
    24,048/33,634 = 33,634/x
  3. Step 3: Cross multiply
    24,048x = 33,634 × 33,634
  4. Step 4: Simplify right side
    24,048x = 1,131,245,956
  5. Step 5: Solve for x
    x = 1,131,245,956/24,048
  6. Step 6: Final answer
    x = 47,041.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.