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Finding the Third Proportional to 29,814 and 63,181

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Solution

The third proportional to 29,814 and 63,181 is: 133,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,814 : 63,181 = 63,181 : x
  2. Step 2: Convert to fraction form
    29,814/63,181 = 63,181/x
  3. Step 3: Cross multiply
    29,814x = 63,181 × 63,181
  4. Step 4: Simplify right side
    29,814x = 3,991,838,761
  5. Step 5: Solve for x
    x = 3,991,838,761/29,814
  6. Step 6: Final answer
    x = 133,891.42

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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.