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Finding the Third Proportional to 1,635.94 and 2,528.44

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Solution

The third proportional to 1,635.94 and 2,528.44 is: 3,907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.94 : 2,528.44 = 2,528.44 : x
  2. Step 2: Convert to fraction form
    1,635.94/2,528.44 = 2,528.44/x
  3. Step 3: Cross multiply
    1,635.94x = 2,528.44 × 2,528.44
  4. Step 4: Simplify right side
    1,635.94x = 6,392,996.19
  5. Step 5: Solve for x
    x = 6,392,996.19/1,635.94
  6. Step 6: Final answer
    x = 3,907.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.