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Finding the Third Proportional to 946 and 2,398

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Solution

The third proportional to 946 and 2,398 is: 6,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    946 : 2,398 = 2,398 : x
  2. Step 2: Convert to fraction form
    946/2,398 = 2,398/x
  3. Step 3: Cross multiply
    946x = 2,398 × 2,398
  4. Step 4: Simplify right side
    946x = 5,750,404
  5. Step 5: Solve for x
    x = 5,750,404/946
  6. Step 6: Final answer
    x = 6,078.65

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.