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Finding the Third Proportional to 963.88 and 2,102.25

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Solution

The third proportional to 963.88 and 2,102.25 is: 4,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.88 : 2,102.25 = 2,102.25 : x
  2. Step 2: Convert to fraction form
    963.88/2,102.25 = 2,102.25/x
  3. Step 3: Cross multiply
    963.88x = 2,102.25 × 2,102.25
  4. Step 4: Simplify right side
    963.88x = 4,419,455.06
  5. Step 5: Solve for x
    x = 4,419,455.06/963.88
  6. Step 6: Final answer
    x = 4,585.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.