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Finding the Third Proportional to 11,712 and 25,824

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Solution

The third proportional to 11,712 and 25,824 is: 56,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712 : 25,824 = 25,824 : x
  2. Step 2: Convert to fraction form
    11,712/25,824 = 25,824/x
  3. Step 3: Cross multiply
    11,712x = 25,824 × 25,824
  4. Step 4: Simplify right side
    11,712x = 666,878,976
  5. Step 5: Solve for x
    x = 666,878,976/11,712
  6. Step 6: Final answer
    x = 56,939.80

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Why These Related Problems?

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