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Finding the Third Proportional to 29,692 and 63,268

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Solution

The third proportional to 29,692 and 63,268 is: 134,812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692 : 63,268 = 63,268 : x
  2. Step 2: Convert to fraction form
    29,692/63,268 = 63,268/x
  3. Step 3: Cross multiply
    29,692x = 63,268 × 63,268
  4. Step 4: Simplify right side
    29,692x = 4,002,839,824
  5. Step 5: Solve for x
    x = 4,002,839,824/29,692
  6. Step 6: Final answer
    x = 134,812.06

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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.