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Finding the Third Proportional to 11,646 and 20,556

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Solution

The third proportional to 11,646 and 20,556 is: 36,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646 : 20,556 = 20,556 : x
  2. Step 2: Convert to fraction form
    11,646/20,556 = 20,556/x
  3. Step 3: Cross multiply
    11,646x = 20,556 × 20,556
  4. Step 4: Simplify right side
    11,646x = 422,549,136
  5. Step 5: Solve for x
    x = 422,549,136/11,646
  6. Step 6: Final answer
    x = 36,282.77

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.