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Finding the Third Proportional to 696 and 1,641.75

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Solution

The third proportional to 696 and 1,641.75 is: 3,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    696 : 1,641.75 = 1,641.75 : x
  2. Step 2: Convert to fraction form
    696/1,641.75 = 1,641.75/x
  3. Step 3: Cross multiply
    696x = 1,641.75 × 1,641.75
  4. Step 4: Simplify right side
    696x = 2,695,343.06
  5. Step 5: Solve for x
    x = 2,695,343.06/696
  6. Step 6: Final answer
    x = 3,872.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.