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Finding the Third Proportional to 12,354 and 19,134

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Solution

The third proportional to 12,354 and 19,134 is: 29,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354 : 19,134 = 19,134 : x
  2. Step 2: Convert to fraction form
    12,354/19,134 = 19,134/x
  3. Step 3: Cross multiply
    12,354x = 19,134 × 19,134
  4. Step 4: Simplify right side
    12,354x = 366,109,956
  5. Step 5: Solve for x
    x = 366,109,956/12,354
  6. Step 6: Final answer
    x = 29,634.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.