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Finding the Third Proportional to 29,505 and 43,809

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Solution

The third proportional to 29,505 and 43,809 is: 65,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,505 : 43,809 = 43,809 : x
  2. Step 2: Convert to fraction form
    29,505/43,809 = 43,809/x
  3. Step 3: Cross multiply
    29,505x = 43,809 × 43,809
  4. Step 4: Simplify right side
    29,505x = 1,919,228,481
  5. Step 5: Solve for x
    x = 1,919,228,481/29,505
  6. Step 6: Final answer
    x = 65,047.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.