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Finding the Third Proportional to 5,117 and 12,171

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Solution

The third proportional to 5,117 and 12,171 is: 28,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117 : 12,171 = 12,171 : x
  2. Step 2: Convert to fraction form
    5,117/12,171 = 12,171/x
  3. Step 3: Cross multiply
    5,117x = 12,171 × 12,171
  4. Step 4: Simplify right side
    5,117x = 148,133,241
  5. Step 5: Solve for x
    x = 148,133,241/5,117
  6. Step 6: Final answer
    x = 28,949.24

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.