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Finding the Third Proportional to 22,329 and 29,635.88

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Solution

The third proportional to 22,329 and 29,635.88 is: 39,333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,329 : 29,635.88 = 29,635.88 : x
  2. Step 2: Convert to fraction form
    22,329/29,635.88 = 29,635.88/x
  3. Step 3: Cross multiply
    22,329x = 29,635.88 × 29,635.88
  4. Step 4: Simplify right side
    22,329x = 878,285,087.02
  5. Step 5: Solve for x
    x = 878,285,087.02/22,329
  6. Step 6: Final answer
    x = 39,333.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.