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Finding the Third Proportional to 33,406.13 and 49,015.50

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Solution

The third proportional to 33,406.13 and 49,015.50 is: 71,918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,406.13 : 49,015.50 = 49,015.50 : x
  2. Step 2: Convert to fraction form
    33,406.13/49,015.50 = 49,015.50/x
  3. Step 3: Cross multiply
    33,406.13x = 49,015.50 × 49,015.50
  4. Step 4: Simplify right side
    33,406.13x = 2,402,519,240.25
  5. Step 5: Solve for x
    x = 2,402,519,240.25/33,406.13
  6. Step 6: Final answer
    x = 71,918.53

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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.