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Finding the Third Proportional to 12,407 and 17,902

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Solution

The third proportional to 12,407 and 17,902 is: 25,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407 : 17,902 = 17,902 : x
  2. Step 2: Convert to fraction form
    12,407/17,902 = 17,902/x
  3. Step 3: Cross multiply
    12,407x = 17,902 × 17,902
  4. Step 4: Simplify right side
    12,407x = 320,481,604
  5. Step 5: Solve for x
    x = 320,481,604/12,407
  6. Step 6: Final answer
    x = 25,830.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.