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Finding the Third Proportional to 12,842 and 20,377

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Solution

The third proportional to 12,842 and 20,377 is: 32,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842 : 20,377 = 20,377 : x
  2. Step 2: Convert to fraction form
    12,842/20,377 = 20,377/x
  3. Step 3: Cross multiply
    12,842x = 20,377 × 20,377
  4. Step 4: Simplify right side
    12,842x = 415,222,129
  5. Step 5: Solve for x
    x = 415,222,129/12,842
  6. Step 6: Final answer
    x = 32,333.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.