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Finding the Third Proportional to 10,350 and 19,134

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Solution

The third proportional to 10,350 and 19,134 is: 35,372.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350 : 19,134 = 19,134 : x
  2. Step 2: Convert to fraction form
    10,350/19,134 = 19,134/x
  3. Step 3: Cross multiply
    10,350x = 19,134 × 19,134
  4. Step 4: Simplify right side
    10,350x = 366,109,956
  5. Step 5: Solve for x
    x = 366,109,956/10,350
  6. Step 6: Final answer
    x = 35,372.94

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.