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Finding the Third Proportional to 963.14 and 2,100.94

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Solution

The third proportional to 963.14 and 2,100.94 is: 4,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.14 : 2,100.94 = 2,100.94 : x
  2. Step 2: Convert to fraction form
    963.14/2,100.94 = 2,100.94/x
  3. Step 3: Cross multiply
    963.14x = 2,100.94 × 2,100.94
  4. Step 4: Simplify right side
    963.14x = 4,413,938.38
  5. Step 5: Solve for x
    x = 4,413,938.38/963.14
  6. Step 6: Final answer
    x = 4,582.86

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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.