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Finding the Third Proportional to 1,195.03 and 2,563.45

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Solution

The third proportional to 1,195.03 and 2,563.45 is: 5,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.03 : 2,563.45 = 2,563.45 : x
  2. Step 2: Convert to fraction form
    1,195.03/2,563.45 = 2,563.45/x
  3. Step 3: Cross multiply
    1,195.03x = 2,563.45 × 2,563.45
  4. Step 4: Simplify right side
    1,195.03x = 6,571,291.92
  5. Step 5: Solve for x
    x = 6,571,291.92/1,195.03
  6. Step 6: Final answer
    x = 5,498.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.