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Finding the Third Proportional to 29,568 and 61,600

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Solution

The third proportional to 29,568 and 61,600 is: 128,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,568 : 61,600 = 61,600 : x
  2. Step 2: Convert to fraction form
    29,568/61,600 = 61,600/x
  3. Step 3: Cross multiply
    29,568x = 61,600 × 61,600
  4. Step 4: Simplify right side
    29,568x = 3,794,560,000
  5. Step 5: Solve for x
    x = 3,794,560,000/29,568
  6. Step 6: Final answer
    x = 128,333.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.