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Finding the Third Proportional to 16,264 and 35,512

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Solution

The third proportional to 16,264 and 35,512 is: 77,539.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264 : 35,512 = 35,512 : x
  2. Step 2: Convert to fraction form
    16,264/35,512 = 35,512/x
  3. Step 3: Cross multiply
    16,264x = 35,512 × 35,512
  4. Step 4: Simplify right side
    16,264x = 1,261,102,144
  5. Step 5: Solve for x
    x = 1,261,102,144/16,264
  6. Step 6: Final answer
    x = 77,539.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.