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Finding the Third Proportional to 29,823 and 61,536

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Solution

The third proportional to 29,823 and 61,536 is: 126,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,823 : 61,536 = 61,536 : x
  2. Step 2: Convert to fraction form
    29,823/61,536 = 61,536/x
  3. Step 3: Cross multiply
    29,823x = 61,536 × 61,536
  4. Step 4: Simplify right side
    29,823x = 3,786,679,296
  5. Step 5: Solve for x
    x = 3,786,679,296/29,823
  6. Step 6: Final answer
    x = 126,971.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.