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Finding the Third Proportional to 14,296 and 21,164

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Solution

The third proportional to 14,296 and 21,164 is: 31,331.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296 : 21,164 = 21,164 : x
  2. Step 2: Convert to fraction form
    14,296/21,164 = 21,164/x
  3. Step 3: Cross multiply
    14,296x = 21,164 × 21,164
  4. Step 4: Simplify right side
    14,296x = 447,914,896
  5. Step 5: Solve for x
    x = 447,914,896/14,296
  6. Step 6: Final answer
    x = 31,331.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.