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Finding the Third Proportional to 34,596 and 75,795

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Solution

The third proportional to 34,596 and 75,795 is: 166,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,596 : 75,795 = 75,795 : x
  2. Step 2: Convert to fraction form
    34,596/75,795 = 75,795/x
  3. Step 3: Cross multiply
    34,596x = 75,795 × 75,795
  4. Step 4: Simplify right side
    34,596x = 5,744,882,025
  5. Step 5: Solve for x
    x = 5,744,882,025/34,596
  6. Step 6: Final answer
    x = 166,056.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.