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Finding the Third Proportional to 8,447 and 13,004

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Solution

The third proportional to 8,447 and 13,004 is: 20,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447 : 13,004 = 13,004 : x
  2. Step 2: Convert to fraction form
    8,447/13,004 = 13,004/x
  3. Step 3: Cross multiply
    8,447x = 13,004 × 13,004
  4. Step 4: Simplify right side
    8,447x = 169,104,016
  5. Step 5: Solve for x
    x = 169,104,016/8,447
  6. Step 6: Final answer
    x = 20,019.42

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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.