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Finding the Third Proportional to 34,802 and 75,976

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Solution

The third proportional to 34,802 and 75,976 is: 165,862.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,802 : 75,976 = 75,976 : x
  2. Step 2: Convert to fraction form
    34,802/75,976 = 75,976/x
  3. Step 3: Cross multiply
    34,802x = 75,976 × 75,976
  4. Step 4: Simplify right side
    34,802x = 5,772,352,576
  5. Step 5: Solve for x
    x = 5,772,352,576/34,802
  6. Step 6: Final answer
    x = 165,862.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.