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Finding the Third Proportional to 19,852 and 43,593

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Solution

The third proportional to 19,852 and 43,593 is: 95,725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852 : 43,593 = 43,593 : x
  2. Step 2: Convert to fraction form
    19,852/43,593 = 43,593/x
  3. Step 3: Cross multiply
    19,852x = 43,593 × 43,593
  4. Step 4: Simplify right side
    19,852x = 1,900,349,649
  5. Step 5: Solve for x
    x = 1,900,349,649/19,852
  6. Step 6: Final answer
    x = 95,725.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.