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Finding the Third Proportional to 34,596 and 73,800

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Solution

The third proportional to 34,596 and 73,800 is: 157,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,596 : 73,800 = 73,800 : x
  2. Step 2: Convert to fraction form
    34,596/73,800 = 73,800/x
  3. Step 3: Cross multiply
    34,596x = 73,800 × 73,800
  4. Step 4: Simplify right side
    34,596x = 5,446,440,000
  5. Step 5: Solve for x
    x = 5,446,440,000/34,596
  6. Step 6: Final answer
    x = 157,429.76

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.