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Finding the Third Proportional to 10,314 and 18,936

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Solution

The third proportional to 10,314 and 18,936 is: 34,765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314 : 18,936 = 18,936 : x
  2. Step 2: Convert to fraction form
    10,314/18,936 = 18,936/x
  3. Step 3: Cross multiply
    10,314x = 18,936 × 18,936
  4. Step 4: Simplify right side
    10,314x = 358,572,096
  5. Step 5: Solve for x
    x = 358,572,096/10,314
  6. Step 6: Final answer
    x = 34,765.57

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.