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Finding the Third Proportional to 40,891.13 and 83,285.81

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Solution

The third proportional to 40,891.13 and 83,285.81 is: 169,634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,891.13 : 83,285.81 = 83,285.81 : x
  2. Step 2: Convert to fraction form
    40,891.13/83,285.81 = 83,285.81/x
  3. Step 3: Cross multiply
    40,891.13x = 83,285.81 × 83,285.81
  4. Step 4: Simplify right side
    40,891.13x = 6,936,526,563.79
  5. Step 5: Solve for x
    x = 6,936,526,563.79/40,891.13
  6. Step 6: Final answer
    x = 169,634.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.