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Finding the Third Proportional to 11,722 and 25,748

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Solution

The third proportional to 11,722 and 25,748 is: 56,556.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722 : 25,748 = 25,748 : x
  2. Step 2: Convert to fraction form
    11,722/25,748 = 25,748/x
  3. Step 3: Cross multiply
    11,722x = 25,748 × 25,748
  4. Step 4: Simplify right side
    11,722x = 662,959,504
  5. Step 5: Solve for x
    x = 662,959,504/11,722
  6. Step 6: Final answer
    x = 56,556.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.