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Finding the Third Proportional to 20,700.75 and 46,086.75

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Solution

The third proportional to 20,700.75 and 46,086.75 is: 102,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,700.75 : 46,086.75 = 46,086.75 : x
  2. Step 2: Convert to fraction form
    20,700.75/46,086.75 = 46,086.75/x
  3. Step 3: Cross multiply
    20,700.75x = 46,086.75 × 46,086.75
  4. Step 4: Simplify right side
    20,700.75x = 2,123,988,525.56
  5. Step 5: Solve for x
    x = 2,123,988,525.56/20,700.75
  6. Step 6: Final answer
    x = 102,604.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.