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Finding the Third Proportional to 14,954 and 22,795

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Solution

The third proportional to 14,954 and 22,795 is: 34,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,954 : 22,795 = 22,795 : x
  2. Step 2: Convert to fraction form
    14,954/22,795 = 22,795/x
  3. Step 3: Cross multiply
    14,954x = 22,795 × 22,795
  4. Step 4: Simplify right side
    14,954x = 519,612,025
  5. Step 5: Solve for x
    x = 519,612,025/14,954
  6. Step 6: Final answer
    x = 34,747.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.