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Finding the Third Proportional to 3,186 and 4,921

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Solution

The third proportional to 3,186 and 4,921 is: 7,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186 : 4,921 = 4,921 : x
  2. Step 2: Convert to fraction form
    3,186/4,921 = 4,921/x
  3. Step 3: Cross multiply
    3,186x = 4,921 × 4,921
  4. Step 4: Simplify right side
    3,186x = 24,216,241
  5. Step 5: Solve for x
    x = 24,216,241/3,186
  6. Step 6: Final answer
    x = 7,600.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.