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Finding the Third Proportional to 41,775.75 and 45,420.75

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Solution

The third proportional to 41,775.75 and 45,420.75 is: 49,383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,775.75 : 45,420.75 = 45,420.75 : x
  2. Step 2: Convert to fraction form
    41,775.75/45,420.75 = 45,420.75/x
  3. Step 3: Cross multiply
    41,775.75x = 45,420.75 × 45,420.75
  4. Step 4: Simplify right side
    41,775.75x = 2,063,044,530.56
  5. Step 5: Solve for x
    x = 2,063,044,530.56/41,775.75
  6. Step 6: Final answer
    x = 49,383.78

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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.