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Finding the Third Proportional to 14,169 and 21,863

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Solution

The third proportional to 14,169 and 21,863 is: 33,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,169 : 21,863 = 21,863 : x
  2. Step 2: Convert to fraction form
    14,169/21,863 = 21,863/x
  3. Step 3: Cross multiply
    14,169x = 21,863 × 21,863
  4. Step 4: Simplify right side
    14,169x = 477,990,769
  5. Step 5: Solve for x
    x = 477,990,769/14,169
  6. Step 6: Final answer
    x = 33,734.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.