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Finding the Third Proportional to 29,007 and 61,809

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Solution

The third proportional to 29,007 and 61,809 is: 131,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,007 : 61,809 = 61,809 : x
  2. Step 2: Convert to fraction form
    29,007/61,809 = 61,809/x
  3. Step 3: Cross multiply
    29,007x = 61,809 × 61,809
  4. Step 4: Simplify right side
    29,007x = 3,820,352,481
  5. Step 5: Solve for x
    x = 3,820,352,481/29,007
  6. Step 6: Final answer
    x = 131,704.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.