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Finding the Third Proportional to 11,806 and 18,281

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Solution

The third proportional to 11,806 and 18,281 is: 28,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806 : 18,281 = 18,281 : x
  2. Step 2: Convert to fraction form
    11,806/18,281 = 18,281/x
  3. Step 3: Cross multiply
    11,806x = 18,281 × 18,281
  4. Step 4: Simplify right side
    11,806x = 334,194,961
  5. Step 5: Solve for x
    x = 334,194,961/11,806
  6. Step 6: Final answer
    x = 28,307.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.