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Finding the Third Proportional to 16,512 and 35,616

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Solution

The third proportional to 16,512 and 35,616 is: 76,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512 : 35,616 = 35,616 : x
  2. Step 2: Convert to fraction form
    16,512/35,616 = 35,616/x
  3. Step 3: Cross multiply
    16,512x = 35,616 × 35,616
  4. Step 4: Simplify right side
    16,512x = 1,268,499,456
  5. Step 5: Solve for x
    x = 1,268,499,456/16,512
  6. Step 6: Final answer
    x = 76,822.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.