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Finding the Third Proportional to 41,001 and 63,225

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Solution

The third proportional to 41,001 and 63,225 is: 97,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,001 : 63,225 = 63,225 : x
  2. Step 2: Convert to fraction form
    41,001/63,225 = 63,225/x
  3. Step 3: Cross multiply
    41,001x = 63,225 × 63,225
  4. Step 4: Simplify right side
    41,001x = 3,997,400,625
  5. Step 5: Solve for x
    x = 3,997,400,625/41,001
  6. Step 6: Final answer
    x = 97,495.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.