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Finding the Third Proportional to 31,545 and 43,861.50

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Solution

The third proportional to 31,545 and 43,861.50 is: 60,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,545 : 43,861.50 = 43,861.50 : x
  2. Step 2: Convert to fraction form
    31,545/43,861.50 = 43,861.50/x
  3. Step 3: Cross multiply
    31,545x = 43,861.50 × 43,861.50
  4. Step 4: Simplify right side
    31,545x = 1,923,831,182.25
  5. Step 5: Solve for x
    x = 1,923,831,182.25/31,545
  6. Step 6: Final answer
    x = 60,986.88

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.