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Finding the Third Proportional to 11,698 and 18,521

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Solution

The third proportional to 11,698 and 18,521 is: 29,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698 : 18,521 = 18,521 : x
  2. Step 2: Convert to fraction form
    11,698/18,521 = 18,521/x
  3. Step 3: Cross multiply
    11,698x = 18,521 × 18,521
  4. Step 4: Simplify right side
    11,698x = 343,027,441
  5. Step 5: Solve for x
    x = 343,027,441/11,698
  6. Step 6: Final answer
    x = 29,323.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.