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Finding the Third Proportional to 43,632.84 and 66,717.56

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Solution

The third proportional to 43,632.84 and 66,717.56 is: 102,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,632.84 : 66,717.56 = 66,717.56 : x
  2. Step 2: Convert to fraction form
    43,632.84/66,717.56 = 66,717.56/x
  3. Step 3: Cross multiply
    43,632.84x = 66,717.56 × 66,717.56
  4. Step 4: Simplify right side
    43,632.84x = 4,451,233,145.94
  5. Step 5: Solve for x
    x = 4,451,233,145.94/43,632.84
  6. Step 6: Final answer
    x = 102,015.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.