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Finding the Third Proportional to 41,004 and 88,809

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Solution

The third proportional to 41,004 and 88,809 is: 192,348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,004 : 88,809 = 88,809 : x
  2. Step 2: Convert to fraction form
    41,004/88,809 = 88,809/x
  3. Step 3: Cross multiply
    41,004x = 88,809 × 88,809
  4. Step 4: Simplify right side
    41,004x = 7,887,038,481
  5. Step 5: Solve for x
    x = 7,887,038,481/41,004
  6. Step 6: Final answer
    x = 192,348.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.