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Finding the Third Proportional to 34,491 and 64,059

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Solution

The third proportional to 34,491 and 64,059 is: 118,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,491 : 64,059 = 64,059 : x
  2. Step 2: Convert to fraction form
    34,491/64,059 = 64,059/x
  3. Step 3: Cross multiply
    34,491x = 64,059 × 64,059
  4. Step 4: Simplify right side
    34,491x = 4,103,555,481
  5. Step 5: Solve for x
    x = 4,103,555,481/34,491
  6. Step 6: Final answer
    x = 118,974.67

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.