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Finding the Third Proportional to 21,182 and 29,756

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Solution

The third proportional to 21,182 and 29,756 is: 41,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182 : 29,756 = 29,756 : x
  2. Step 2: Convert to fraction form
    21,182/29,756 = 29,756/x
  3. Step 3: Cross multiply
    21,182x = 29,756 × 29,756
  4. Step 4: Simplify right side
    21,182x = 885,419,536
  5. Step 5: Solve for x
    x = 885,419,536/21,182
  6. Step 6: Final answer
    x = 41,800.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.