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Finding the Third Proportional to 8,070 and 18,004

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Solution

The third proportional to 8,070 and 18,004 is: 40,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070 : 18,004 = 18,004 : x
  2. Step 2: Convert to fraction form
    8,070/18,004 = 18,004/x
  3. Step 3: Cross multiply
    8,070x = 18,004 × 18,004
  4. Step 4: Simplify right side
    8,070x = 324,144,016
  5. Step 5: Solve for x
    x = 324,144,016/8,070
  6. Step 6: Final answer
    x = 40,166.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.