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Finding the Third Proportional to 19,473.50 and 29,177

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Solution

The third proportional to 19,473.50 and 29,177 is: 43,715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,473.50 : 29,177 = 29,177 : x
  2. Step 2: Convert to fraction form
    19,473.50/29,177 = 29,177/x
  3. Step 3: Cross multiply
    19,473.50x = 29,177 × 29,177
  4. Step 4: Simplify right side
    19,473.50x = 851,297,329
  5. Step 5: Solve for x
    x = 851,297,329/19,473.50
  6. Step 6: Final answer
    x = 43,715.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.