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Finding the Third Proportional to 24,046 and 33,631

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Solution

The third proportional to 24,046 and 33,631 is: 47,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,046 : 33,631 = 33,631 : x
  2. Step 2: Convert to fraction form
    24,046/33,631 = 33,631/x
  3. Step 3: Cross multiply
    24,046x = 33,631 × 33,631
  4. Step 4: Simplify right side
    24,046x = 1,131,044,161
  5. Step 5: Solve for x
    x = 1,131,044,161/24,046
  6. Step 6: Final answer
    x = 47,036.69

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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.