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Finding the Third Proportional to 13,004 and 16,902

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Solution

The third proportional to 13,004 and 16,902 is: 21,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004 : 16,902 = 16,902 : x
  2. Step 2: Convert to fraction form
    13,004/16,902 = 16,902/x
  3. Step 3: Cross multiply
    13,004x = 16,902 × 16,902
  4. Step 4: Simplify right side
    13,004x = 285,677,604
  5. Step 5: Solve for x
    x = 285,677,604/13,004
  6. Step 6: Final answer
    x = 21,968.44

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.