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Finding the Third Proportional to 29,264 and 62,969

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Solution

The third proportional to 29,264 and 62,969 is: 135,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,264 : 62,969 = 62,969 : x
  2. Step 2: Convert to fraction form
    29,264/62,969 = 62,969/x
  3. Step 3: Cross multiply
    29,264x = 62,969 × 62,969
  4. Step 4: Simplify right side
    29,264x = 3,965,094,961
  5. Step 5: Solve for x
    x = 3,965,094,961/29,264
  6. Step 6: Final answer
    x = 135,493.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.