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Finding the Third Proportional to 29,749.50 and 61,965

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Solution

The third proportional to 29,749.50 and 61,965 is: 129,066.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,749.50 : 61,965 = 61,965 : x
  2. Step 2: Convert to fraction form
    29,749.50/61,965 = 61,965/x
  3. Step 3: Cross multiply
    29,749.50x = 61,965 × 61,965
  4. Step 4: Simplify right side
    29,749.50x = 3,839,661,225
  5. Step 5: Solve for x
    x = 3,839,661,225/29,749.50
  6. Step 6: Final answer
    x = 129,066.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.