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Finding the Third Proportional to 1,993.88 and 2,995.50

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Solution

The third proportional to 1,993.88 and 2,995.50 is: 4,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.88 : 2,995.50 = 2,995.50 : x
  2. Step 2: Convert to fraction form
    1,993.88/2,995.50 = 2,995.50/x
  3. Step 3: Cross multiply
    1,993.88x = 2,995.50 × 2,995.50
  4. Step 4: Simplify right side
    1,993.88x = 8,973,020.25
  5. Step 5: Solve for x
    x = 8,973,020.25/1,993.88
  6. Step 6: Final answer
    x = 4,500.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.