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Finding the Third Proportional to 1,984.88 and 4,475.44

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Solution

The third proportional to 1,984.88 and 4,475.44 is: 10,091.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.88 : 4,475.44 = 4,475.44 : x
  2. Step 2: Convert to fraction form
    1,984.88/4,475.44 = 4,475.44/x
  3. Step 3: Cross multiply
    1,984.88x = 4,475.44 × 4,475.44
  4. Step 4: Simplify right side
    1,984.88x = 20,029,540.82
  5. Step 5: Solve for x
    x = 20,029,540.82/1,984.88
  6. Step 6: Final answer
    x = 10,091.08

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.