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Finding the Third Proportional to 1,962.98 and 4,001.91

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Solution

The third proportional to 1,962.98 and 4,001.91 is: 8,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.98 : 4,001.91 = 4,001.91 : x
  2. Step 2: Convert to fraction form
    1,962.98/4,001.91 = 4,001.91/x
  3. Step 3: Cross multiply
    1,962.98x = 4,001.91 × 4,001.91
  4. Step 4: Simplify right side
    1,962.98x = 16,015,253.63
  5. Step 5: Solve for x
    x = 16,015,253.63/1,962.98
  6. Step 6: Final answer
    x = 8,158.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.