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Finding the Third Proportional to 966.94 and 2,153.25

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Solution

The third proportional to 966.94 and 2,153.25 is: 4,795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.94 : 2,153.25 = 2,153.25 : x
  2. Step 2: Convert to fraction form
    966.94/2,153.25 = 2,153.25/x
  3. Step 3: Cross multiply
    966.94x = 2,153.25 × 2,153.25
  4. Step 4: Simplify right side
    966.94x = 4,636,485.56
  5. Step 5: Solve for x
    x = 4,636,485.56/966.94
  6. Step 6: Final answer
    x = 4,795.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.