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Finding the Third Proportional to 17,299.50 and 25,950

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Solution

The third proportional to 17,299.50 and 25,950 is: 38,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,299.50 : 25,950 = 25,950 : x
  2. Step 2: Convert to fraction form
    17,299.50/25,950 = 25,950/x
  3. Step 3: Cross multiply
    17,299.50x = 25,950 × 25,950
  4. Step 4: Simplify right side
    17,299.50x = 673,402,500
  5. Step 5: Solve for x
    x = 673,402,500/17,299.50
  6. Step 6: Final answer
    x = 38,926.13

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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.