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Finding the Third Proportional to 29,798 and 65,500

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Solution

The third proportional to 29,798 and 65,500 is: 143,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,798 : 65,500 = 65,500 : x
  2. Step 2: Convert to fraction form
    29,798/65,500 = 65,500/x
  3. Step 3: Cross multiply
    29,798x = 65,500 × 65,500
  4. Step 4: Simplify right side
    29,798x = 4,290,250,000
  5. Step 5: Solve for x
    x = 4,290,250,000/29,798
  6. Step 6: Final answer
    x = 143,977.78

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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.