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Finding the Third Proportional to 3,498 and 3,878

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Solution

The third proportional to 3,498 and 3,878 is: 4,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498 : 3,878 = 3,878 : x
  2. Step 2: Convert to fraction form
    3,498/3,878 = 3,878/x
  3. Step 3: Cross multiply
    3,498x = 3,878 × 3,878
  4. Step 4: Simplify right side
    3,498x = 15,038,884
  5. Step 5: Solve for x
    x = 15,038,884/3,498
  6. Step 6: Final answer
    x = 4,299.28

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.