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Finding the Third Proportional to 14,950 and 20,954

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Solution

The third proportional to 14,950 and 20,954 is: 29,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,950 : 20,954 = 20,954 : x
  2. Step 2: Convert to fraction form
    14,950/20,954 = 20,954/x
  3. Step 3: Cross multiply
    14,950x = 20,954 × 20,954
  4. Step 4: Simplify right side
    14,950x = 439,070,116
  5. Step 5: Solve for x
    x = 439,070,116/14,950
  6. Step 6: Final answer
    x = 29,369.24

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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.