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Finding the Third Proportional to 963.13 and 2,074.69

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Solution

The third proportional to 963.13 and 2,074.69 is: 4,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.13 : 2,074.69 = 2,074.69 : x
  2. Step 2: Convert to fraction form
    963.13/2,074.69 = 2,074.69/x
  3. Step 3: Cross multiply
    963.13x = 2,074.69 × 2,074.69
  4. Step 4: Simplify right side
    963.13x = 4,304,328.22
  5. Step 5: Solve for x
    x = 4,304,328.22/963.13
  6. Step 6: Final answer
    x = 4,469.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.