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Finding the Third Proportional to 12,477 and 19,079

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Solution

The third proportional to 12,477 and 19,079 is: 29,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477 : 19,079 = 19,079 : x
  2. Step 2: Convert to fraction form
    12,477/19,079 = 19,079/x
  3. Step 3: Cross multiply
    12,477x = 19,079 × 19,079
  4. Step 4: Simplify right side
    12,477x = 364,008,241
  5. Step 5: Solve for x
    x = 364,008,241/12,477
  6. Step 6: Final answer
    x = 29,174.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.