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Finding the Third Proportional to 3,484 and 6,878

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Solution

The third proportional to 3,484 and 6,878 is: 13,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484 : 6,878 = 6,878 : x
  2. Step 2: Convert to fraction form
    3,484/6,878 = 6,878/x
  3. Step 3: Cross multiply
    3,484x = 6,878 × 6,878
  4. Step 4: Simplify right side
    3,484x = 47,306,884
  5. Step 5: Solve for x
    x = 47,306,884/3,484
  6. Step 6: Final answer
    x = 13,578.32

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.