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Finding the Third Proportional to 696.25 and 1,649.50

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Solution

The third proportional to 696.25 and 1,649.50 is: 3,907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.25 : 1,649.50 = 1,649.50 : x
  2. Step 2: Convert to fraction form
    696.25/1,649.50 = 1,649.50/x
  3. Step 3: Cross multiply
    696.25x = 1,649.50 × 1,649.50
  4. Step 4: Simplify right side
    696.25x = 2,720,850.25
  5. Step 5: Solve for x
    x = 2,720,850.25/696.25
  6. Step 6: Final answer
    x = 3,907.86

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.