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Finding the Third Proportional to 29,756 and 47,843

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Solution

The third proportional to 29,756 and 47,843 is: 76,924.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,756 : 47,843 = 47,843 : x
  2. Step 2: Convert to fraction form
    29,756/47,843 = 47,843/x
  3. Step 3: Cross multiply
    29,756x = 47,843 × 47,843
  4. Step 4: Simplify right side
    29,756x = 2,288,952,649
  5. Step 5: Solve for x
    x = 2,288,952,649/29,756
  6. Step 6: Final answer
    x = 76,924.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.