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Finding the Third Proportional to 45,636.75 and 68,262.75

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Solution

The third proportional to 45,636.75 and 68,262.75 is: 102,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,636.75 : 68,262.75 = 68,262.75 : x
  2. Step 2: Convert to fraction form
    45,636.75/68,262.75 = 68,262.75/x
  3. Step 3: Cross multiply
    45,636.75x = 68,262.75 × 68,262.75
  4. Step 4: Simplify right side
    45,636.75x = 4,659,803,037.56
  5. Step 5: Solve for x
    x = 4,659,803,037.56/45,636.75
  6. Step 6: Final answer
    x = 102,106.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.