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Finding the Third Proportional to 29,814 and 63,177

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Solution

The third proportional to 29,814 and 63,177 is: 133,874.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,814 : 63,177 = 63,177 : x
  2. Step 2: Convert to fraction form
    29,814/63,177 = 63,177/x
  3. Step 3: Cross multiply
    29,814x = 63,177 × 63,177
  4. Step 4: Simplify right side
    29,814x = 3,991,333,329
  5. Step 5: Solve for x
    x = 3,991,333,329/29,814
  6. Step 6: Final answer
    x = 133,874.47

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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.