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Finding the Third Proportional to 16,256 and 21,792

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Solution

The third proportional to 16,256 and 21,792 is: 29,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256 : 21,792 = 21,792 : x
  2. Step 2: Convert to fraction form
    16,256/21,792 = 21,792/x
  3. Step 3: Cross multiply
    16,256x = 21,792 × 21,792
  4. Step 4: Simplify right side
    16,256x = 474,891,264
  5. Step 5: Solve for x
    x = 474,891,264/16,256
  6. Step 6: Final answer
    x = 29,213.29

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