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Finding the Third Proportional to 24,790 and 33,044

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Solution

The third proportional to 24,790 and 33,044 is: 44,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,790 : 33,044 = 33,044 : x
  2. Step 2: Convert to fraction form
    24,790/33,044 = 33,044/x
  3. Step 3: Cross multiply
    24,790x = 33,044 × 33,044
  4. Step 4: Simplify right side
    24,790x = 1,091,905,936
  5. Step 5: Solve for x
    x = 1,091,905,936/24,790
  6. Step 6: Final answer
    x = 44,046.23

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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.