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Finding the Third Proportional to 19,852 and 27,034

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Solution

The third proportional to 19,852 and 27,034 is: 36,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852 : 27,034 = 27,034 : x
  2. Step 2: Convert to fraction form
    19,852/27,034 = 27,034/x
  3. Step 3: Cross multiply
    19,852x = 27,034 × 27,034
  4. Step 4: Simplify right side
    19,852x = 730,837,156
  5. Step 5: Solve for x
    x = 730,837,156/19,852
  6. Step 6: Final answer
    x = 36,814.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.