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Finding the Third Proportional to 23,443 and 47,756

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Solution

The third proportional to 23,443 and 47,756 is: 97,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,443 : 47,756 = 47,756 : x
  2. Step 2: Convert to fraction form
    23,443/47,756 = 47,756/x
  3. Step 3: Cross multiply
    23,443x = 47,756 × 47,756
  4. Step 4: Simplify right side
    23,443x = 2,280,635,536
  5. Step 5: Solve for x
    x = 2,280,635,536/23,443
  6. Step 6: Final answer
    x = 97,284.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.