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Finding the Third Proportional to 29,823 and 63,195

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Solution

The third proportional to 29,823 and 63,195 is: 133,910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,823 : 63,195 = 63,195 : x
  2. Step 2: Convert to fraction form
    29,823/63,195 = 63,195/x
  3. Step 3: Cross multiply
    29,823x = 63,195 × 63,195
  4. Step 4: Simplify right side
    29,823x = 3,993,608,025
  5. Step 5: Solve for x
    x = 3,993,608,025/29,823
  6. Step 6: Final answer
    x = 133,910.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.