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Finding the Third Proportional to 829.50 and 1,790.25

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Solution

The third proportional to 829.50 and 1,790.25 is: 3,863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.50 : 1,790.25 = 1,790.25 : x
  2. Step 2: Convert to fraction form
    829.50/1,790.25 = 1,790.25/x
  3. Step 3: Cross multiply
    829.50x = 1,790.25 × 1,790.25
  4. Step 4: Simplify right side
    829.50x = 3,204,995.06
  5. Step 5: Solve for x
    x = 3,204,995.06/829.50
  6. Step 6: Final answer
    x = 3,863.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.