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Finding the Third Proportional to 35,242 and 50,918

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Solution

The third proportional to 35,242 and 50,918 is: 73,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,242 : 50,918 = 50,918 : x
  2. Step 2: Convert to fraction form
    35,242/50,918 = 50,918/x
  3. Step 3: Cross multiply
    35,242x = 50,918 × 50,918
  4. Step 4: Simplify right side
    35,242x = 2,592,642,724
  5. Step 5: Solve for x
    x = 2,592,642,724/35,242
  6. Step 6: Final answer
    x = 73,566.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.