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Finding the Third Proportional to 7,946 and 18,002

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Solution

The third proportional to 7,946 and 18,002 is: 40,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946 : 18,002 = 18,002 : x
  2. Step 2: Convert to fraction form
    7,946/18,002 = 18,002/x
  3. Step 3: Cross multiply
    7,946x = 18,002 × 18,002
  4. Step 4: Simplify right side
    7,946x = 324,072,004
  5. Step 5: Solve for x
    x = 324,072,004/7,946
  6. Step 6: Final answer
    x = 40,784.29

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.