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Finding the Third Proportional to 27,722 and 43,519

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Solution

The third proportional to 27,722 and 43,519 is: 68,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722 : 43,519 = 43,519 : x
  2. Step 2: Convert to fraction form
    27,722/43,519 = 43,519/x
  3. Step 3: Cross multiply
    27,722x = 43,519 × 43,519
  4. Step 4: Simplify right side
    27,722x = 1,893,903,361
  5. Step 5: Solve for x
    x = 1,893,903,361/27,722
  6. Step 6: Final answer
    x = 68,317.70

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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.