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Finding the Third Proportional to 29,962 and 65,286

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Solution

The third proportional to 29,962 and 65,286 is: 142,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,962 : 65,286 = 65,286 : x
  2. Step 2: Convert to fraction form
    29,962/65,286 = 65,286/x
  3. Step 3: Cross multiply
    29,962x = 65,286 × 65,286
  4. Step 4: Simplify right side
    29,962x = 4,262,261,796
  5. Step 5: Solve for x
    x = 4,262,261,796/29,962
  6. Step 6: Final answer
    x = 142,255.58

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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.