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Finding the Third Proportional to 12,940 and 20,044

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Solution

The third proportional to 12,940 and 20,044 is: 31,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940 : 20,044 = 20,044 : x
  2. Step 2: Convert to fraction form
    12,940/20,044 = 20,044/x
  3. Step 3: Cross multiply
    12,940x = 20,044 × 20,044
  4. Step 4: Simplify right side
    12,940x = 401,761,936
  5. Step 5: Solve for x
    x = 401,761,936/12,940
  6. Step 6: Final answer
    x = 31,048.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.