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Finding the Third Proportional to 29,704 and 61,291

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Solution

The third proportional to 29,704 and 61,291 is: 126,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,704 : 61,291 = 61,291 : x
  2. Step 2: Convert to fraction form
    29,704/61,291 = 61,291/x
  3. Step 3: Cross multiply
    29,704x = 61,291 × 61,291
  4. Step 4: Simplify right side
    29,704x = 3,756,586,681
  5. Step 5: Solve for x
    x = 3,756,586,681/29,704
  6. Step 6: Final answer
    x = 126,467.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.