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Finding the Third Proportional to 966.94 and 1,382.06

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Solution

The third proportional to 966.94 and 1,382.06 is: 1,975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.94 : 1,382.06 = 1,382.06 : x
  2. Step 2: Convert to fraction form
    966.94/1,382.06 = 1,382.06/x
  3. Step 3: Cross multiply
    966.94x = 1,382.06 × 1,382.06
  4. Step 4: Simplify right side
    966.94x = 1,910,096.75
  5. Step 5: Solve for x
    x = 1,910,096.75/966.94
  6. Step 6: Final answer
    x = 1,975.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.