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Finding the Third Proportional to 34,739.50 and 73,307

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Solution

The third proportional to 34,739.50 and 73,307 is: 154,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,739.50 : 73,307 = 73,307 : x
  2. Step 2: Convert to fraction form
    34,739.50/73,307 = 73,307/x
  3. Step 3: Cross multiply
    34,739.50x = 73,307 × 73,307
  4. Step 4: Simplify right side
    34,739.50x = 5,373,916,249
  5. Step 5: Solve for x
    x = 5,373,916,249/34,739.50
  6. Step 6: Final answer
    x = 154,691.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.