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Finding the Third Proportional to 867.75 and 1,826.25

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Solution

The third proportional to 867.75 and 1,826.25 is: 3,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.75 : 1,826.25 = 1,826.25 : x
  2. Step 2: Convert to fraction form
    867.75/1,826.25 = 1,826.25/x
  3. Step 3: Cross multiply
    867.75x = 1,826.25 × 1,826.25
  4. Step 4: Simplify right side
    867.75x = 3,335,189.06
  5. Step 5: Solve for x
    x = 3,335,189.06/867.75
  6. Step 6: Final answer
    x = 3,843.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.