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Finding the Third Proportional to 50,165.50 and 66,910

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Solution

The third proportional to 50,165.50 and 66,910 is: 89,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,165.50 : 66,910 = 66,910 : x
  2. Step 2: Convert to fraction form
    50,165.50/66,910 = 66,910/x
  3. Step 3: Cross multiply
    50,165.50x = 66,910 × 66,910
  4. Step 4: Simplify right side
    50,165.50x = 4,476,948,100
  5. Step 5: Solve for x
    x = 4,476,948,100/50,165.50
  6. Step 6: Final answer
    x = 89,243.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.