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Finding the Third Proportional to 29,539 and 43,845

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Solution

The third proportional to 29,539 and 43,845 is: 65,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,539 : 43,845 = 43,845 : x
  2. Step 2: Convert to fraction form
    29,539/43,845 = 43,845/x
  3. Step 3: Cross multiply
    29,539x = 43,845 × 43,845
  4. Step 4: Simplify right side
    29,539x = 1,922,384,025
  5. Step 5: Solve for x
    x = 1,922,384,025/29,539
  6. Step 6: Final answer
    x = 65,079.52

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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.