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Finding the Third Proportional to 963.42 and 2,116.27

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Solution

The third proportional to 963.42 and 2,116.27 is: 4,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.42 : 2,116.27 = 2,116.27 : x
  2. Step 2: Convert to fraction form
    963.42/2,116.27 = 2,116.27/x
  3. Step 3: Cross multiply
    963.42x = 2,116.27 × 2,116.27
  4. Step 4: Simplify right side
    963.42x = 4,478,580.20
  5. Step 5: Solve for x
    x = 4,478,580.20/963.42
  6. Step 6: Final answer
    x = 4,648.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.