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Finding the Third Proportional to 41,656.50 and 89,469

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Solution

The third proportional to 41,656.50 and 89,469 is: 192,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,656.50 : 89,469 = 89,469 : x
  2. Step 2: Convert to fraction form
    41,656.50/89,469 = 89,469/x
  3. Step 3: Cross multiply
    41,656.50x = 89,469 × 89,469
  4. Step 4: Simplify right side
    41,656.50x = 8,004,701,961
  5. Step 5: Solve for x
    x = 8,004,701,961/41,656.50
  6. Step 6: Final answer
    x = 192,159.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.