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Finding the Third Proportional to 1,963 and 4,540.75

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Solution

The third proportional to 1,963 and 4,540.75 is: 10,503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963 : 4,540.75 = 4,540.75 : x
  2. Step 2: Convert to fraction form
    1,963/4,540.75 = 4,540.75/x
  3. Step 3: Cross multiply
    1,963x = 4,540.75 × 4,540.75
  4. Step 4: Simplify right side
    1,963x = 20,618,410.56
  5. Step 5: Solve for x
    x = 20,618,410.56/1,963
  6. Step 6: Final answer
    x = 10,503.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.