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Finding the Third Proportional to 50,426 and 66,890.75

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Solution

The third proportional to 50,426 and 66,890.75 is: 88,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,426 : 66,890.75 = 66,890.75 : x
  2. Step 2: Convert to fraction form
    50,426/66,890.75 = 66,890.75/x
  3. Step 3: Cross multiply
    50,426x = 66,890.75 × 66,890.75
  4. Step 4: Simplify right side
    50,426x = 4,474,372,435.56
  5. Step 5: Solve for x
    x = 4,474,372,435.56/50,426
  6. Step 6: Final answer
    x = 88,731.46

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1.5x scale

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.