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Finding the Third Proportional to 19,695.50 and 29,234

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Solution

The third proportional to 19,695.50 and 29,234 is: 43,391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,695.50 : 29,234 = 29,234 : x
  2. Step 2: Convert to fraction form
    19,695.50/29,234 = 29,234/x
  3. Step 3: Cross multiply
    19,695.50x = 29,234 × 29,234
  4. Step 4: Simplify right side
    19,695.50x = 854,626,756
  5. Step 5: Solve for x
    x = 854,626,756/19,695.50
  6. Step 6: Final answer
    x = 43,391.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.