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Finding the Third Proportional to 16,057 and 21,305

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Solution

The third proportional to 16,057 and 21,305 is: 28,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057 : 21,305 = 21,305 : x
  2. Step 2: Convert to fraction form
    16,057/21,305 = 21,305/x
  3. Step 3: Cross multiply
    16,057x = 21,305 × 21,305
  4. Step 4: Simplify right side
    16,057x = 453,903,025
  5. Step 5: Solve for x
    x = 453,903,025/16,057
  6. Step 6: Final answer
    x = 28,268.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.