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Finding the Third Proportional to 3,103.88 and 4,269.94

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Solution

The third proportional to 3,103.88 and 4,269.94 is: 5,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.88 : 4,269.94 = 4,269.94 : x
  2. Step 2: Convert to fraction form
    3,103.88/4,269.94 = 4,269.94/x
  3. Step 3: Cross multiply
    3,103.88x = 4,269.94 × 4,269.94
  4. Step 4: Simplify right side
    3,103.88x = 18,232,366.25
  5. Step 5: Solve for x
    x = 18,232,366.25/3,103.88
  6. Step 6: Final answer
    x = 5,874.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.