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Finding the Third Proportional to 34,150 and 50,730

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Solution

The third proportional to 34,150 and 50,730 is: 75,359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,150 : 50,730 = 50,730 : x
  2. Step 2: Convert to fraction form
    34,150/50,730 = 50,730/x
  3. Step 3: Cross multiply
    34,150x = 50,730 × 50,730
  4. Step 4: Simplify right side
    34,150x = 2,573,532,900
  5. Step 5: Solve for x
    x = 2,573,532,900/34,150
  6. Step 6: Final answer
    x = 75,359.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.