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Finding the Third Proportional to 35,589 and 57,334.50

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Solution

The third proportional to 35,589 and 57,334.50 is: 92,366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,589 : 57,334.50 = 57,334.50 : x
  2. Step 2: Convert to fraction form
    35,589/57,334.50 = 57,334.50/x
  3. Step 3: Cross multiply
    35,589x = 57,334.50 × 57,334.50
  4. Step 4: Simplify right side
    35,589x = 3,287,244,890.25
  5. Step 5: Solve for x
    x = 3,287,244,890.25/35,589
  6. Step 6: Final answer
    x = 92,366.88

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.