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Finding the Third Proportional to 16,675 and 35,815

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Solution

The third proportional to 16,675 and 35,815 is: 76,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,675 : 35,815 = 35,815 : x
  2. Step 2: Convert to fraction form
    16,675/35,815 = 35,815/x
  3. Step 3: Cross multiply
    16,675x = 35,815 × 35,815
  4. Step 4: Simplify right side
    16,675x = 1,282,714,225
  5. Step 5: Solve for x
    x = 1,282,714,225/16,675
  6. Step 6: Final answer
    x = 76,924.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.