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Finding the Third Proportional to 2,876 and 6,294

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Solution

The third proportional to 2,876 and 6,294 is: 13,774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876 : 6,294 = 6,294 : x
  2. Step 2: Convert to fraction form
    2,876/6,294 = 6,294/x
  3. Step 3: Cross multiply
    2,876x = 6,294 × 6,294
  4. Step 4: Simplify right side
    2,876x = 39,614,436
  5. Step 5: Solve for x
    x = 39,614,436/2,876
  6. Step 6: Final answer
    x = 13,774.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.