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Finding the Third Proportional to 33,687.75 and 56,141.63

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Solution

The third proportional to 33,687.75 and 56,141.63 is: 93,561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,687.75 : 56,141.63 = 56,141.63 : x
  2. Step 2: Convert to fraction form
    33,687.75/56,141.63 = 56,141.63/x
  3. Step 3: Cross multiply
    33,687.75x = 56,141.63 × 56,141.63
  4. Step 4: Simplify right side
    33,687.75x = 3,151,882,057.64
  5. Step 5: Solve for x
    x = 3,151,882,057.64/33,687.75
  6. Step 6: Final answer
    x = 93,561.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.