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Finding the Third Proportional to 41,061.75 and 45,381.75

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Solution

The third proportional to 41,061.75 and 45,381.75 is: 50,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,061.75 : 45,381.75 = 45,381.75 : x
  2. Step 2: Convert to fraction form
    41,061.75/45,381.75 = 45,381.75/x
  3. Step 3: Cross multiply
    41,061.75x = 45,381.75 × 45,381.75
  4. Step 4: Simplify right side
    41,061.75x = 2,059,503,233.06
  5. Step 5: Solve for x
    x = 2,059,503,233.06/41,061.75
  6. Step 6: Final answer
    x = 50,156.25

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.