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Finding the Third Proportional to 33,210 and 49,951

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Solution

The third proportional to 33,210 and 49,951 is: 75,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,210 : 49,951 = 49,951 : x
  2. Step 2: Convert to fraction form
    33,210/49,951 = 49,951/x
  3. Step 3: Cross multiply
    33,210x = 49,951 × 49,951
  4. Step 4: Simplify right side
    33,210x = 2,495,102,401
  5. Step 5: Solve for x
    x = 2,495,102,401/33,210
  6. Step 6: Final answer
    x = 75,131.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.