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Finding the Third Proportional to 963.98 and 2,096.93

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Solution

The third proportional to 963.98 and 2,096.93 is: 4,561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.98 : 2,096.93 = 2,096.93 : x
  2. Step 2: Convert to fraction form
    963.98/2,096.93 = 2,096.93/x
  3. Step 3: Cross multiply
    963.98x = 2,096.93 × 2,096.93
  4. Step 4: Simplify right side
    963.98x = 4,397,114.11
  5. Step 5: Solve for x
    x = 4,397,114.11/963.98
  6. Step 6: Final answer
    x = 4,561.40

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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.