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Finding the Third Proportional to 29,676 and 41,742

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Solution

The third proportional to 29,676 and 41,742 is: 58,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,676 : 41,742 = 41,742 : x
  2. Step 2: Convert to fraction form
    29,676/41,742 = 41,742/x
  3. Step 3: Cross multiply
    29,676x = 41,742 × 41,742
  4. Step 4: Simplify right side
    29,676x = 1,742,394,564
  5. Step 5: Solve for x
    x = 1,742,394,564/29,676
  6. Step 6: Final answer
    x = 58,713.93

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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.