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Finding the Third Proportional to 963.84 and 1,976.91

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Solution

The third proportional to 963.84 and 1,976.91 is: 4,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.84 : 1,976.91 = 1,976.91 : x
  2. Step 2: Convert to fraction form
    963.84/1,976.91 = 1,976.91/x
  3. Step 3: Cross multiply
    963.84x = 1,976.91 × 1,976.91
  4. Step 4: Simplify right side
    963.84x = 3,908,158.32
  5. Step 5: Solve for x
    x = 3,908,158.32/963.84
  6. Step 6: Final answer
    x = 4,054.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.