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Finding the Third Proportional to 19,296 and 25,729

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Solution

The third proportional to 19,296 and 25,729 is: 34,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,296 : 25,729 = 25,729 : x
  2. Step 2: Convert to fraction form
    19,296/25,729 = 25,729/x
  3. Step 3: Cross multiply
    19,296x = 25,729 × 25,729
  4. Step 4: Simplify right side
    19,296x = 661,981,441
  5. Step 5: Solve for x
    x = 661,981,441/19,296
  6. Step 6: Final answer
    x = 34,306.67

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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.