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Finding the Third Proportional to 11,827 and 17,742

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Solution

The third proportional to 11,827 and 17,742 is: 26,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827 : 17,742 = 17,742 : x
  2. Step 2: Convert to fraction form
    11,827/17,742 = 17,742/x
  3. Step 3: Cross multiply
    11,827x = 17,742 × 17,742
  4. Step 4: Simplify right side
    11,827x = 314,778,564
  5. Step 5: Solve for x
    x = 314,778,564/11,827
  6. Step 6: Final answer
    x = 26,615.25

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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.