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Finding the Third Proportional to 1,636.75 and 1,789.75

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Solution

The third proportional to 1,636.75 and 1,789.75 is: 1,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.75 : 1,789.75 = 1,789.75 : x
  2. Step 2: Convert to fraction form
    1,636.75/1,789.75 = 1,789.75/x
  3. Step 3: Cross multiply
    1,636.75x = 1,789.75 × 1,789.75
  4. Step 4: Simplify right side
    1,636.75x = 3,203,205.06
  5. Step 5: Solve for x
    x = 3,203,205.06/1,636.75
  6. Step 6: Final answer
    x = 1,957.05

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.