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Finding the Third Proportional to 16,172 and 21,731

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Solution

The third proportional to 16,172 and 21,731 is: 29,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172 : 21,731 = 21,731 : x
  2. Step 2: Convert to fraction form
    16,172/21,731 = 21,731/x
  3. Step 3: Cross multiply
    16,172x = 21,731 × 21,731
  4. Step 4: Simplify right side
    16,172x = 472,236,361
  5. Step 5: Solve for x
    x = 472,236,361/16,172
  6. Step 6: Final answer
    x = 29,200.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.