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Finding the Third Proportional to 14,086 and 29,965

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Solution

The third proportional to 14,086 and 29,965 is: 63,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,086 : 29,965 = 29,965 : x
  2. Step 2: Convert to fraction form
    14,086/29,965 = 29,965/x
  3. Step 3: Cross multiply
    14,086x = 29,965 × 29,965
  4. Step 4: Simplify right side
    14,086x = 897,901,225
  5. Step 5: Solve for x
    x = 897,901,225/14,086
  6. Step 6: Final answer
    x = 63,744.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.