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Finding the Third Proportional to 18,293 and 24,847

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Solution

The third proportional to 18,293 and 24,847 is: 33,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,293 : 24,847 = 24,847 : x
  2. Step 2: Convert to fraction form
    18,293/24,847 = 24,847/x
  3. Step 3: Cross multiply
    18,293x = 24,847 × 24,847
  4. Step 4: Simplify right side
    18,293x = 617,373,409
  5. Step 5: Solve for x
    x = 617,373,409/18,293
  6. Step 6: Final answer
    x = 33,749.16

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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.