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Finding the Third Proportional to 29,852 and 41,845

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Solution

The third proportional to 29,852 and 41,845 is: 58,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,852 : 41,845 = 41,845 : x
  2. Step 2: Convert to fraction form
    29,852/41,845 = 41,845/x
  3. Step 3: Cross multiply
    29,852x = 41,845 × 41,845
  4. Step 4: Simplify right side
    29,852x = 1,751,004,025
  5. Step 5: Solve for x
    x = 1,751,004,025/29,852
  6. Step 6: Final answer
    x = 58,656.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.