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Finding the Third Proportional to 11,630 and 17,881

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Solution

The third proportional to 11,630 and 17,881 is: 27,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630 : 17,881 = 17,881 : x
  2. Step 2: Convert to fraction form
    11,630/17,881 = 17,881/x
  3. Step 3: Cross multiply
    11,630x = 17,881 × 17,881
  4. Step 4: Simplify right side
    11,630x = 319,730,161
  5. Step 5: Solve for x
    x = 319,730,161/11,630
  6. Step 6: Final answer
    x = 27,491.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.