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Finding the Third Proportional to 50,969 and 66,607

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Solution

The third proportional to 50,969 and 66,607 is: 87,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,969 : 66,607 = 66,607 : x
  2. Step 2: Convert to fraction form
    50,969/66,607 = 66,607/x
  3. Step 3: Cross multiply
    50,969x = 66,607 × 66,607
  4. Step 4: Simplify right side
    50,969x = 4,436,492,449
  5. Step 5: Solve for x
    x = 4,436,492,449/50,969
  6. Step 6: Final answer
    x = 87,042.96

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.