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Finding the Third Proportional to 25,798 and 41,225

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Solution

The third proportional to 25,798 and 41,225 is: 65,877.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,798 : 41,225 = 41,225 : x
  2. Step 2: Convert to fraction form
    25,798/41,225 = 41,225/x
  3. Step 3: Cross multiply
    25,798x = 41,225 × 41,225
  4. Step 4: Simplify right side
    25,798x = 1,699,500,625
  5. Step 5: Solve for x
    x = 1,699,500,625/25,798
  6. Step 6: Final answer
    x = 65,877.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.