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Finding the Third Proportional to 966.94 and 2,059.31

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Solution

The third proportional to 966.94 and 2,059.31 is: 4,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.94 : 2,059.31 = 2,059.31 : x
  2. Step 2: Convert to fraction form
    966.94/2,059.31 = 2,059.31/x
  3. Step 3: Cross multiply
    966.94x = 2,059.31 × 2,059.31
  4. Step 4: Simplify right side
    966.94x = 4,240,767.97
  5. Step 5: Solve for x
    x = 4,240,767.97/966.94
  6. Step 6: Final answer
    x = 4,385.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.