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Finding the Third Proportional to 11,776 and 17,720

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Solution

The third proportional to 11,776 and 17,720 is: 26,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776 : 17,720 = 17,720 : x
  2. Step 2: Convert to fraction form
    11,776/17,720 = 17,720/x
  3. Step 3: Cross multiply
    11,776x = 17,720 × 17,720
  4. Step 4: Simplify right side
    11,776x = 313,998,400
  5. Step 5: Solve for x
    x = 313,998,400/11,776
  6. Step 6: Final answer
    x = 26,664.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.