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Finding the Third Proportional to 50,212.41 and 66,638.95

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Solution

The third proportional to 50,212.41 and 66,638.95 is: 88,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,212.41 : 66,638.95 = 66,638.95 : x
  2. Step 2: Convert to fraction form
    50,212.41/66,638.95 = 66,638.95/x
  3. Step 3: Cross multiply
    50,212.41x = 66,638.95 × 66,638.95
  4. Step 4: Simplify right side
    50,212.41x = 4,440,750,073.60
  5. Step 5: Solve for x
    x = 4,440,750,073.60/50,212.41
  6. Step 6: Final answer
    x = 88,439.30

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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.