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Finding the Third Proportional to 29,591 and 41,621

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Solution

The third proportional to 29,591 and 41,621 is: 58,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,591 : 41,621 = 41,621 : x
  2. Step 2: Convert to fraction form
    29,591/41,621 = 41,621/x
  3. Step 3: Cross multiply
    29,591x = 41,621 × 41,621
  4. Step 4: Simplify right side
    29,591x = 1,732,307,641
  5. Step 5: Solve for x
    x = 1,732,307,641/29,591
  6. Step 6: Final answer
    x = 58,541.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.