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Finding the Third Proportional to 29,832 and 64,304

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Solution

The third proportional to 29,832 and 64,304 is: 138,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,832 : 64,304 = 64,304 : x
  2. Step 2: Convert to fraction form
    29,832/64,304 = 64,304/x
  3. Step 3: Cross multiply
    29,832x = 64,304 × 64,304
  4. Step 4: Simplify right side
    29,832x = 4,135,004,416
  5. Step 5: Solve for x
    x = 4,135,004,416/29,832
  6. Step 6: Final answer
    x = 138,609.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.