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Finding the Third Proportional to 21,954 and 34,044

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Solution

The third proportional to 21,954 and 34,044 is: 52,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,954 : 34,044 = 34,044 : x
  2. Step 2: Convert to fraction form
    21,954/34,044 = 34,044/x
  3. Step 3: Cross multiply
    21,954x = 34,044 × 34,044
  4. Step 4: Simplify right side
    21,954x = 1,158,993,936
  5. Step 5: Solve for x
    x = 1,158,993,936/21,954
  6. Step 6: Final answer
    x = 52,791.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.