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Finding the Third Proportional to 29,673 and 70,046.44

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Solution

The third proportional to 29,673 and 70,046.44 is: 165,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,673 : 70,046.44 = 70,046.44 : x
  2. Step 2: Convert to fraction form
    29,673/70,046.44 = 70,046.44/x
  3. Step 3: Cross multiply
    29,673x = 70,046.44 × 70,046.44
  4. Step 4: Simplify right side
    29,673x = 4,906,503,406.44
  5. Step 5: Solve for x
    x = 4,906,503,406.44/29,673
  6. Step 6: Final answer
    x = 165,352.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.