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Finding the Third Proportional to 55,573 and 72,991.50

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Solution

The third proportional to 55,573 and 72,991.50 is: 95,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,573 : 72,991.50 = 72,991.50 : x
  2. Step 2: Convert to fraction form
    55,573/72,991.50 = 72,991.50/x
  3. Step 3: Cross multiply
    55,573x = 72,991.50 × 72,991.50
  4. Step 4: Simplify right side
    55,573x = 5,327,759,072.25
  5. Step 5: Solve for x
    x = 5,327,759,072.25/55,573
  6. Step 6: Final answer
    x = 95,869.56

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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.