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Finding the Third Proportional to 33,401.11 and 49,006.27

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Solution

The third proportional to 33,401.11 and 49,006.27 is: 71,902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,401.11 : 49,006.27 = 49,006.27 : x
  2. Step 2: Convert to fraction form
    33,401.11/49,006.27 = 49,006.27/x
  3. Step 3: Cross multiply
    33,401.11x = 49,006.27 × 49,006.27
  4. Step 4: Simplify right side
    33,401.11x = 2,401,614,070.51
  5. Step 5: Solve for x
    x = 2,401,614,070.51/33,401.11
  6. Step 6: Final answer
    x = 71,902.22

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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.