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Finding the Third Proportional to 1,952.70 and 4,193.98

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Solution

The third proportional to 1,952.70 and 4,193.98 is: 9,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.70 : 4,193.98 = 4,193.98 : x
  2. Step 2: Convert to fraction form
    1,952.70/4,193.98 = 4,193.98/x
  3. Step 3: Cross multiply
    1,952.70x = 4,193.98 × 4,193.98
  4. Step 4: Simplify right side
    1,952.70x = 17,589,504.94
  5. Step 5: Solve for x
    x = 17,589,504.94/1,952.70
  6. Step 6: Final answer
    x = 9,007.77

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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.