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Finding the Third Proportional to 33,840.50 and 49,605.50

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Solution

The third proportional to 33,840.50 and 49,605.50 is: 72,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,840.50 : 49,605.50 = 49,605.50 : x
  2. Step 2: Convert to fraction form
    33,840.50/49,605.50 = 49,605.50/x
  3. Step 3: Cross multiply
    33,840.50x = 49,605.50 × 49,605.50
  4. Step 4: Simplify right side
    33,840.50x = 2,460,705,630.25
  5. Step 5: Solve for x
    x = 2,460,705,630.25/33,840.50
  6. Step 6: Final answer
    x = 72,714.81

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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.