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Finding the Third Proportional to 14,164 and 18,886

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Solution

The third proportional to 14,164 and 18,886 is: 25,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164 : 18,886 = 18,886 : x
  2. Step 2: Convert to fraction form
    14,164/18,886 = 18,886/x
  3. Step 3: Cross multiply
    14,164x = 18,886 × 18,886
  4. Step 4: Simplify right side
    14,164x = 356,680,996
  5. Step 5: Solve for x
    x = 356,680,996/14,164
  6. Step 6: Final answer
    x = 25,182.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.