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Finding the Third Proportional to 1,648 and 4,018

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Solution

The third proportional to 1,648 and 4,018 is: 9,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648 : 4,018 = 4,018 : x
  2. Step 2: Convert to fraction form
    1,648/4,018 = 4,018/x
  3. Step 3: Cross multiply
    1,648x = 4,018 × 4,018
  4. Step 4: Simplify right side
    1,648x = 16,144,324
  5. Step 5: Solve for x
    x = 16,144,324/1,648
  6. Step 6: Final answer
    x = 9,796.31

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.