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Finding the Third Proportional to 34,728.75 and 73,284.75

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Solution

The third proportional to 34,728.75 and 73,284.75 is: 154,645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,728.75 : 73,284.75 = 73,284.75 : x
  2. Step 2: Convert to fraction form
    34,728.75/73,284.75 = 73,284.75/x
  3. Step 3: Cross multiply
    34,728.75x = 73,284.75 × 73,284.75
  4. Step 4: Simplify right side
    34,728.75x = 5,370,654,582.56
  5. Step 5: Solve for x
    x = 5,370,654,582.56/34,728.75
  6. Step 6: Final answer
    x = 154,645.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.