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Finding the Third Proportional to 29,361 and 41,854

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Solution

The third proportional to 29,361 and 41,854 is: 59,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,361 : 41,854 = 41,854 : x
  2. Step 2: Convert to fraction form
    29,361/41,854 = 41,854/x
  3. Step 3: Cross multiply
    29,361x = 41,854 × 41,854
  4. Step 4: Simplify right side
    29,361x = 1,751,757,316
  5. Step 5: Solve for x
    x = 1,751,757,316/29,361
  6. Step 6: Final answer
    x = 59,662.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.