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Finding the Third Proportional to 1,828.75 and 3,935.07

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Solution

The third proportional to 1,828.75 and 3,935.07 is: 8,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.75 : 3,935.07 = 3,935.07 : x
  2. Step 2: Convert to fraction form
    1,828.75/3,935.07 = 3,935.07/x
  3. Step 3: Cross multiply
    1,828.75x = 3,935.07 × 3,935.07
  4. Step 4: Simplify right side
    1,828.75x = 15,484,739.94
  5. Step 5: Solve for x
    x = 15,484,739.94/1,828.75
  6. Step 6: Final answer
    x = 8,467.39

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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.