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Finding the Third Proportional to 45,405 and 49,596.75

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Solution

The third proportional to 45,405 and 49,596.75 is: 54,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,405 : 49,596.75 = 49,596.75 : x
  2. Step 2: Convert to fraction form
    45,405/49,596.75 = 49,596.75/x
  3. Step 3: Cross multiply
    45,405x = 49,596.75 × 49,596.75
  4. Step 4: Simplify right side
    45,405x = 2,459,837,610.56
  5. Step 5: Solve for x
    x = 2,459,837,610.56/45,405
  6. Step 6: Final answer
    x = 54,175.48

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.