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Finding the Third Proportional to 19,947 and 29,919

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Solution

The third proportional to 19,947 and 29,919 is: 44,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,947 : 29,919 = 29,919 : x
  2. Step 2: Convert to fraction form
    19,947/29,919 = 29,919/x
  3. Step 3: Cross multiply
    19,947x = 29,919 × 29,919
  4. Step 4: Simplify right side
    19,947x = 895,146,561
  5. Step 5: Solve for x
    x = 895,146,561/19,947
  6. Step 6: Final answer
    x = 44,876.25

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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.