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Finding the Third Proportional to 19,734 and 30,609

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Solution

The third proportional to 19,734 and 30,609 is: 47,476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,734 : 30,609 = 30,609 : x
  2. Step 2: Convert to fraction form
    19,734/30,609 = 30,609/x
  3. Step 3: Cross multiply
    19,734x = 30,609 × 30,609
  4. Step 4: Simplify right side
    19,734x = 936,910,881
  5. Step 5: Solve for x
    x = 936,910,881/19,734
  6. Step 6: Final answer
    x = 47,476.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.