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Finding the Third Proportional to 1,962.98 and 3,982.92

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Solution

The third proportional to 1,962.98 and 3,982.92 is: 8,081.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.98 : 3,982.92 = 3,982.92 : x
  2. Step 2: Convert to fraction form
    1,962.98/3,982.92 = 3,982.92/x
  3. Step 3: Cross multiply
    1,962.98x = 3,982.92 × 3,982.92
  4. Step 4: Simplify right side
    1,962.98x = 15,863,666.66
  5. Step 5: Solve for x
    x = 15,863,666.66/1,962.98
  6. Step 6: Final answer
    x = 8,081.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.