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Finding the Third Proportional to 12,164 and 18,219

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Solution

The third proportional to 12,164 and 18,219 is: 27,288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164 : 18,219 = 18,219 : x
  2. Step 2: Convert to fraction form
    12,164/18,219 = 18,219/x
  3. Step 3: Cross multiply
    12,164x = 18,219 × 18,219
  4. Step 4: Simplify right side
    12,164x = 331,931,961
  5. Step 5: Solve for x
    x = 331,931,961/12,164
  6. Step 6: Final answer
    x = 27,288.06

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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.