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Finding the Third Proportional to 18,798 and 40,500

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Solution

The third proportional to 18,798 and 40,500 is: 87,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,798 : 40,500 = 40,500 : x
  2. Step 2: Convert to fraction form
    18,798/40,500 = 40,500/x
  3. Step 3: Cross multiply
    18,798x = 40,500 × 40,500
  4. Step 4: Simplify right side
    18,798x = 1,640,250,000
  5. Step 5: Solve for x
    x = 1,640,250,000/18,798
  6. Step 6: Final answer
    x = 87,256.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.