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Finding the Third Proportional to 29,743 and 61,951

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Solution

The third proportional to 29,743 and 61,951 is: 129,036.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,743 : 61,951 = 61,951 : x
  2. Step 2: Convert to fraction form
    29,743/61,951 = 61,951/x
  3. Step 3: Cross multiply
    29,743x = 61,951 × 61,951
  4. Step 4: Simplify right side
    29,743x = 3,837,926,401
  5. Step 5: Solve for x
    x = 3,837,926,401/29,743
  6. Step 6: Final answer
    x = 129,036.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.