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Finding the Third Proportional to 33,573 and 49,431.50

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Solution

The third proportional to 33,573 and 49,431.50 is: 72,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,573 : 49,431.50 = 49,431.50 : x
  2. Step 2: Convert to fraction form
    33,573/49,431.50 = 49,431.50/x
  3. Step 3: Cross multiply
    33,573x = 49,431.50 × 49,431.50
  4. Step 4: Simplify right side
    33,573x = 2,443,473,192.25
  5. Step 5: Solve for x
    x = 2,443,473,192.25/33,573
  6. Step 6: Final answer
    x = 72,780.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.