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Finding the Third Proportional to 696.38 and 1,635.75

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Solution

The third proportional to 696.38 and 1,635.75 is: 3,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.38 : 1,635.75 = 1,635.75 : x
  2. Step 2: Convert to fraction form
    696.38/1,635.75 = 1,635.75/x
  3. Step 3: Cross multiply
    696.38x = 1,635.75 × 1,635.75
  4. Step 4: Simplify right side
    696.38x = 2,675,678.06
  5. Step 5: Solve for x
    x = 2,675,678.06/696.38
  6. Step 6: Final answer
    x = 3,842.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.