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Finding the Third Proportional to 1,022 and 2,376

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Solution

The third proportional to 1,022 and 2,376 is: 5,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022 : 2,376 = 2,376 : x
  2. Step 2: Convert to fraction form
    1,022/2,376 = 2,376/x
  3. Step 3: Cross multiply
    1,022x = 2,376 × 2,376
  4. Step 4: Simplify right side
    1,022x = 5,645,376
  5. Step 5: Solve for x
    x = 5,645,376/1,022
  6. Step 6: Final answer
    x = 5,523.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.