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Finding the Third Proportional to 50,426 and 66,890.50

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Solution

The third proportional to 50,426 and 66,890.50 is: 88,730.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,426 : 66,890.50 = 66,890.50 : x
  2. Step 2: Convert to fraction form
    50,426/66,890.50 = 66,890.50/x
  3. Step 3: Cross multiply
    50,426x = 66,890.50 × 66,890.50
  4. Step 4: Simplify right side
    50,426x = 4,474,338,990.25
  5. Step 5: Solve for x
    x = 4,474,338,990.25/50,426
  6. Step 6: Final answer
    x = 88,730.79

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