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Finding the Third Proportional to 33,840.75 and 49,606.50

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Solution

The third proportional to 33,840.75 and 49,606.50 is: 72,717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,840.75 : 49,606.50 = 49,606.50 : x
  2. Step 2: Convert to fraction form
    33,840.75/49,606.50 = 49,606.50/x
  3. Step 3: Cross multiply
    33,840.75x = 49,606.50 × 49,606.50
  4. Step 4: Simplify right side
    33,840.75x = 2,460,804,842.25
  5. Step 5: Solve for x
    x = 2,460,804,842.25/33,840.75
  6. Step 6: Final answer
    x = 72,717.21

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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.