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Finding the Third Proportional to 41,163 and 62,321

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Solution

The third proportional to 41,163 and 62,321 is: 94,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,163 : 62,321 = 62,321 : x
  2. Step 2: Convert to fraction form
    41,163/62,321 = 62,321/x
  3. Step 3: Cross multiply
    41,163x = 62,321 × 62,321
  4. Step 4: Simplify right side
    41,163x = 3,883,907,041
  5. Step 5: Solve for x
    x = 3,883,907,041/41,163
  6. Step 6: Final answer
    x = 94,354.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.