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Finding the Third Proportional to 963.56 and 2,314.97

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Solution

The third proportional to 963.56 and 2,314.97 is: 5,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.56 : 2,314.97 = 2,314.97 : x
  2. Step 2: Convert to fraction form
    963.56/2,314.97 = 2,314.97/x
  3. Step 3: Cross multiply
    963.56x = 2,314.97 × 2,314.97
  4. Step 4: Simplify right side
    963.56x = 5,359,080.31
  5. Step 5: Solve for x
    x = 5,359,080.31/963.56
  6. Step 6: Final answer
    x = 5,561.74

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.