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Finding the Third Proportional to 12,051 and 19,171

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Solution

The third proportional to 12,051 and 19,171 is: 30,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051 : 19,171 = 19,171 : x
  2. Step 2: Convert to fraction form
    12,051/19,171 = 19,171/x
  3. Step 3: Cross multiply
    12,051x = 19,171 × 19,171
  4. Step 4: Simplify right side
    12,051x = 367,527,241
  5. Step 5: Solve for x
    x = 367,527,241/12,051
  6. Step 6: Final answer
    x = 30,497.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.