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Finding the Third Proportional to 16,515 and 35,945

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Solution

The third proportional to 16,515 and 35,945 is: 78,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,515 : 35,945 = 35,945 : x
  2. Step 2: Convert to fraction form
    16,515/35,945 = 35,945/x
  3. Step 3: Cross multiply
    16,515x = 35,945 × 35,945
  4. Step 4: Simplify right side
    16,515x = 1,292,043,025
  5. Step 5: Solve for x
    x = 1,292,043,025/16,515
  6. Step 6: Final answer
    x = 78,234.52

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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.