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Finding the Third Proportional to 40,004 and 57,622

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Solution

The third proportional to 40,004 and 57,622 is: 82,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,004 : 57,622 = 57,622 : x
  2. Step 2: Convert to fraction form
    40,004/57,622 = 57,622/x
  3. Step 3: Cross multiply
    40,004x = 57,622 × 57,622
  4. Step 4: Simplify right side
    40,004x = 3,320,294,884
  5. Step 5: Solve for x
    x = 3,320,294,884/40,004
  6. Step 6: Final answer
    x = 82,999.07

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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.