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Finding the Third Proportional to 1,996.13 and 3,063.94

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Solution

The third proportional to 1,996.13 and 3,063.94 is: 4,702.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.13 : 3,063.94 = 3,063.94 : x
  2. Step 2: Convert to fraction form
    1,996.13/3,063.94 = 3,063.94/x
  3. Step 3: Cross multiply
    1,996.13x = 3,063.94 × 3,063.94
  4. Step 4: Simplify right side
    1,996.13x = 9,387,713.00
  5. Step 5: Solve for x
    x = 9,387,713.00/1,996.13
  6. Step 6: Final answer
    x = 4,702.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.