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Finding the Third Proportional to 14,177 and 21,425

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Solution

The third proportional to 14,177 and 21,425 is: 32,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177 : 21,425 = 21,425 : x
  2. Step 2: Convert to fraction form
    14,177/21,425 = 21,425/x
  3. Step 3: Cross multiply
    14,177x = 21,425 × 21,425
  4. Step 4: Simplify right side
    14,177x = 459,030,625
  5. Step 5: Solve for x
    x = 459,030,625/14,177
  6. Step 6: Final answer
    x = 32,378.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.