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Finding the Third Proportional to 28,242 and 41,302

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Solution

The third proportional to 28,242 and 41,302 is: 60,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,242 : 41,302 = 41,302 : x
  2. Step 2: Convert to fraction form
    28,242/41,302 = 41,302/x
  3. Step 3: Cross multiply
    28,242x = 41,302 × 41,302
  4. Step 4: Simplify right side
    28,242x = 1,705,855,204
  5. Step 5: Solve for x
    x = 1,705,855,204/28,242
  6. Step 6: Final answer
    x = 60,401.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.