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Finding the Third Proportional to 39,004 and 92,041

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Solution

The third proportional to 39,004 and 92,041 is: 217,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,004 : 92,041 = 92,041 : x
  2. Step 2: Convert to fraction form
    39,004/92,041 = 92,041/x
  3. Step 3: Cross multiply
    39,004x = 92,041 × 92,041
  4. Step 4: Simplify right side
    39,004x = 8,471,545,681
  5. Step 5: Solve for x
    x = 8,471,545,681/39,004
  6. Step 6: Final answer
    x = 217,196.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.