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Finding the Third Proportional to 33,845.50 and 49,614

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Solution

The third proportional to 33,845.50 and 49,614 is: 72,728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,845.50 : 49,614 = 49,614 : x
  2. Step 2: Convert to fraction form
    33,845.50/49,614 = 49,614/x
  3. Step 3: Cross multiply
    33,845.50x = 49,614 × 49,614
  4. Step 4: Simplify right side
    33,845.50x = 2,461,548,996
  5. Step 5: Solve for x
    x = 2,461,548,996/33,845.50
  6. Step 6: Final answer
    x = 72,728.99

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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.