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Finding the Third Proportional to 7,078 and 16,671

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Solution

The third proportional to 7,078 and 16,671 is: 39,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078 : 16,671 = 16,671 : x
  2. Step 2: Convert to fraction form
    7,078/16,671 = 16,671/x
  3. Step 3: Cross multiply
    7,078x = 16,671 × 16,671
  4. Step 4: Simplify right side
    7,078x = 277,922,241
  5. Step 5: Solve for x
    x = 277,922,241/7,078
  6. Step 6: Final answer
    x = 39,265.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.