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Finding the Third Proportional to 27,850 and 43,756

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Solution

The third proportional to 27,850 and 43,756 is: 68,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,850 : 43,756 = 43,756 : x
  2. Step 2: Convert to fraction form
    27,850/43,756 = 43,756/x
  3. Step 3: Cross multiply
    27,850x = 43,756 × 43,756
  4. Step 4: Simplify right side
    27,850x = 1,914,587,536
  5. Step 5: Solve for x
    x = 1,914,587,536/27,850
  6. Step 6: Final answer
    x = 68,746.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.