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Finding the Third Proportional to 29,494 and 61,722

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Solution

The third proportional to 29,494 and 61,722 is: 129,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,494 : 61,722 = 61,722 : x
  2. Step 2: Convert to fraction form
    29,494/61,722 = 61,722/x
  3. Step 3: Cross multiply
    29,494x = 61,722 × 61,722
  4. Step 4: Simplify right side
    29,494x = 3,809,605,284
  5. Step 5: Solve for x
    x = 3,809,605,284/29,494
  6. Step 6: Final answer
    x = 129,165.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.